400378284715200 has 1344 divisors, whose sum is σ = 1610764904448000. Its totient is φ = 85917984768000.

The previous prime is 400378284715183. The next prime is 400378284715223. The reversal of 400378284715200 is 2517482873004.

It is a happy number.

It is a super-2 number, since 2×400378284715200² (a number of 30 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 901654831 + ... + 902098769.

It is an arithmetic number, because the mean of its divisors is an integer number (1198485792000).

Almost surely, 2^{400378284715200} is an apocalyptic number.

400378284715200 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 400378284715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805382452224000).

400378284715200 is an abundant number, since it is smaller than the sum of its proper divisors (1210386619732800).

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

400378284715200 is a wasteful number, since it uses less digits than its factorization.

400378284715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444054 (or 444039 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 400378284715200 in words is "four hundred trillion, three hundred seventy-eight billion, two hundred eighty-four million, seven hundred fifteen thousand, two hundred".