40400880 has 160 divisors (see below), whose sum is σ = 140990976. Its totient is φ = 9495552.

The previous prime is 40400879. The next prime is 40400887. The reversal of 40400880 is 8800404.

It is a super-2 number, since 2×40400880² = 3264462209548800, which contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40400880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71479 + ... + 72041.

Almost surely, 2^40400880 is an apocalyptic number.

40400880 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 40400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70495488).

40400880 is an abundant number, since it is smaller than the sum of its proper divisors (100590096).

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

40400880 is a wasteful number, since it uses less digits than its factorization.

40400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40400880 is about 6356.1686572966. The cubic root of 40400880 is about 343.1338856893.

The spelling of 40400880 in words is "forty million, four hundred thousand, eight hundred eighty".