40153320 has 176 divisors, whose sum is σ = 143488260. Its totient is φ = 10077696.

The previous prime is 40153297. The next prime is 40153343. The reversal of 40153320 is 2335104.

It is an interprime number because it is at equal distance from previous prime (40153297) and next prime (40153343).

It can be written as a sum of positive squares in 2 ways, for example, as 39917124 + 236196 = 6318^2 + 486^2 .

It is a super-2 number, since 2×40153320² = 3224578214044800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40153293 and 40153302.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 459 × 405 × 216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2361952 + ... + 2361968.

Almost surely, 2^40153320 is an apocalyptic number.

40153320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40153320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71744130).

40153320 is an abundant number, since it is smaller than the sum of its proper divisors (103334940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40153320 is an equidigital number, since it uses as much as digits as its factorization.

40153320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 40153320 is about 6336.6647378570. The cubic root of 40153320 is about 342.4315880908.

Adding to 40153320 its reverse (2335104), we get a palindrome (42488424).

The spelling of 40153320 in words is "forty million, one hundred fifty-three thousand, three hundred twenty".