40429872 has 120 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 10938240.

The previous prime is 40429867. The next prime is 40429889. The reversal of 40429872 is 27892404.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 18097 + ... + 20207.

It is an arithmetic number, because the mean of its divisors is an integer number (1134848).

Almost surely, 2^40429872 is an apocalyptic number.

40429872 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 40429872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

40429872 is an abundant number, since it is smaller than the sum of its proper divisors (95751888).

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

40429872 is a wasteful number, since it uses less digits than its factorization.

40429872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40429872 is about 6358.4488674519. The cubic root of 40429872 is about 343.2159446192.

It can be divided in two parts, 404 and 29872, that added together give a square (30276 = 174²).

The spelling of 40429872 in words is "forty million, four hundred twenty-nine thousand, eight hundred seventy-two".