40004415400 has 96 divisors (see below), whose sum is σ = 96396285600. Its totient is φ = 15421280000.

The previous prime is 40004415397. The next prime is 40004415457. The reversal of 40004415400 is 451440004.

40004415400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3259275 + ... + 3271525.

It is an arithmetic number, because the mean of its divisors is an integer number (1004127975).

Almost surely, 2^40004415400 is an apocalyptic number.

40004415400 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 40004415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48198142800).

40004415400 is an abundant number, since it is smaller than the sum of its proper divisors (56391870200).

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

40004415400 is a wasteful number, since it uses less digits than its factorization.

40004415400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12859 (or 12850 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 40004415400 its reverse (451440004), we get a palindrome (40455855404).

The spelling of 40004415400 in words is "forty billion, four million, four hundred fifteen thousand, four hundred".