40153920 has 112 divisors (see below), whose sum is σ = 128796288. Its totient is φ = 10598400.

The previous prime is 40153907. The next prime is 40153931. The reversal of 40153920 is 2935104.

It is a super-2 number, since 2×40153920² = 3224674582732800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144822 + ... + 145098.

Almost surely, 2^40153920 is an apocalyptic number.

40153920 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 40153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64398144).

40153920 is an abundant number, since it is smaller than the sum of its proper divisors (88642368).

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

40153920 is a wasteful number, since it uses less digits than its factorization.

40153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 40153920 is about 6336.7120811979. The cubic root of 40153920 is about 342.4332937026.

The spelling of 40153920 in words is "forty million, one hundred fifty-three thousand, nine hundred twenty".