40531920 has 160 divisors (see below), whose sum is σ = 147740544. Its totient is φ = 9062400.

The previous prime is 40531913. The next prime is 40531963. The reversal of 40531920 is 2913504.

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 31 ways as a sum of consecutive naturals, for example, 33730 + ... + 34910.

Almost surely, 2^40531920 is an apocalyptic number.

40531920 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 40531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73870272).

40531920 is an abundant number, since it is smaller than the sum of its proper divisors (107208624).

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

40531920 is a wasteful number, since it uses less digits than its factorization.

40531920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1215 counting only the distinct ones).

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

The square root of 40531920 is about 6366.4684087805. The cubic root of 40531920 is about 343.5044695151.

The spelling of 40531920 in words is "forty million, five hundred thirty-one thousand, nine hundred twenty".