400704612400 has 120 divisors (see below), whose sum is σ = 988708705200. Its totient is φ = 156004224000.

The previous prime is 400704612359. The next prime is 400704612457. The reversal of 400704612400 is 4216407004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2299546 + ... + 2467654.

It is an arithmetic number, because the mean of its divisors is an integer number (8239239210).

Almost surely, 2^400704612400 is an apocalyptic number.

400704612400 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 400704612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494354352600).

400704612400 is an abundant number, since it is smaller than the sum of its proper divisors (588004092800).

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

400704612400 is a wasteful number, since it uses less digits than its factorization.

400704612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168287 (or 168276 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 400704612400 in words is "four hundred billion, seven hundred four million, six hundred twelve thousand, four hundred".