400045205504 has 288 divisors, whose sum is σ = 1021790427840. Its totient is φ = 152836374528.

The previous prime is 400045205459. The next prime is 400045205531. The reversal of 400045205504 is 405502540004.

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, 87977759 + ... + 87982305.

It is an arithmetic number, because the mean of its divisors is an integer number (3547883430).

Almost surely, 2^400045205504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400045205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510895213920).

400045205504 is an abundant number, since it is smaller than the sum of its proper divisors (621745222336).

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

400045205504 is a wasteful number, since it uses less digits than its factorization.

400045205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

Adding to 400045205504 its reverse (405502540004), we get a palindrome (805547745508).

The spelling of 400045205504 in words is "four hundred billion, forty-five million, two hundred five thousand, five hundred four".