40400000040000 has 280 divisors, whose sum is σ = 133788557932128. Its totient is φ = 10755852800000.

The previous prime is 40400000039891. The next prime is 40400000040073. The reversal of 40400000040000 is 4000000404.

40400000040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73767175 + ... + 74312825.

Almost surely, 2^{40400000040000} is an apocalyptic number.

40400000040000 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 40400000040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66894278966064).

40400000040000 is an abundant number, since it is smaller than the sum of its proper divisors (93388557892128).

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

40400000040000 is an equidigital number, since it uses as much as digits as its factorization.

40400000040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546303 (or 546278 counting only the distinct ones).

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

Adding to 40400000040000 its reverse (4000000404), we get a palindrome (40404000040404).

The spelling of 40400000040000 in words is "forty trillion, four hundred billion, forty thousand".