40431720 has 128 divisors (see below), whose sum is σ = 140083200. Its totient is φ = 9144576.

The previous prime is 40431701. The next prime is 40431737. The reversal of 40431720 is 2713404.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 106491 + ... + 106869.

It is an arithmetic number, because the mean of its divisors is an integer number (1094400).

Almost surely, 2^40431720 is an apocalyptic number.

40431720 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 40431720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70041600).

40431720 is an abundant number, since it is smaller than the sum of its proper divisors (99651480).

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

40431720 is a wasteful number, since it uses less digits than its factorization.

40431720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40431720 is about 6358.5941842517. The cubic root of 40431720 is about 343.2211738666.

The spelling of 40431720 in words is "forty million, four hundred thirty-one thousand, seven hundred twenty".