40400040040000 has 560 divisors, whose sum is σ = 107175892336128. Its totient is φ = 15069441024000.

The previous prime is 40400040039967. The next prime is 40400040040007. The reversal of 40400040040000 is 4004000404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40400040040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11977478314 + ... + 11977481686.

Almost surely, 2^{40400040040000} is an apocalyptic number.

40400040040000 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 40400040040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53587946168064).

40400040040000 is an abundant number, since it is smaller than the sum of its proper divisors (66775852296128).

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

40400040040000 is a wasteful number, since it uses less digits than its factorization.

40400040040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40400040040000 its reverse (4004000404), we get a palindrome (40404044040404).

The spelling of 40400040040000 in words is "forty trillion, four hundred billion, forty million, forty thousand".