40153932 has 216 divisors, whose sum is σ = 135940896. Its totient is φ = 9870336.

The previous prime is 40153931. The next prime is 40153943. The reversal of 40153932 is 23935104.

It is a super-2 number, since 2×40153932² = 3224676510121248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40153896 and 40153905.

It is not an unprimeable number, because it can be changed into a prime (40153931) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 389793 + ... + 389895.

It is an arithmetic number, because the mean of its divisors is an integer number (629356).

Almost surely, 2^40153932 is an apocalyptic number.

40153932 is a gapful number since it is divisible by the number (42) 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 40153932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448).

40153932 is an abundant number, since it is smaller than the sum of its proper divisors (95786964).

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

40153932 is a wasteful number, since it uses less digits than its factorization.

40153932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 40153932 is about 6336.7130280612. The cubic root of 40153932 is about 342.4333278147.

The spelling of 40153932 in words is "forty million, one hundred fifty-three thousand, nine hundred thirty-two".