400040040 has 64 divisors (see below), whose sum is σ = 1203048000. Its totient is φ = 106417152.

The previous prime is 400040023. The next prime is 400040059. The reversal of 400040040 is 40040004.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

400040040 is a modest number, since divided by 40040 gives 400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 400039998 and 400040025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48111 + ... + 55809.

It is an arithmetic number, because the mean of its divisors is an integer number (18797625).

Almost surely, 2^400040040 is an apocalyptic number.

400040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400040040 is an abundant number, since it is smaller than the sum of its proper divisors (803007960).

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

400040040 is a wasteful number, since it uses less digits than its factorization.

400040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8146 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 400040040 is about 20001.0009749512. Note that the first 3 decimals coincide. The cubic root of 400040040 is about 736.8308836780.

Adding to 400040040 its reverse (40040004), we get a palindrome (440080044).

The spelling of 400040040 in words is "four hundred million, forty thousand, forty".