40153344 has 216 divisors, whose sum is σ = 137013408. Its totient is φ = 10321920.

The previous prime is 40153343. The next prime is 40153363. The reversal of 40153344 is 44335104.

It is a super-2 number, since 2×40153344² = 3224582068764672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40153343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413904 + ... + 414000.

Almost surely, 2^40153344 is an apocalyptic number.

40153344 is a gapful number since it is divisible by the number (44) 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 40153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68506704).

40153344 is an abundant number, since it is smaller than the sum of its proper divisors (96860064).

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

40153344 is a wasteful number, since it uses less digits than its factorization.

40153344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 40153344 is about 6336.6666315974. Note that the first 4 decimals coincide. The cubic root of 40153344 is about 342.4316563156.

Adding to 40153344 its reverse (44335104), we get a palindrome (84488448).

The spelling of 40153344 in words is "forty million, one hundred fifty-three thousand, three hundred forty-four".