400254566400 has 1200 divisors, whose sum is σ = 1651946026500. Its totient is φ = 95126814720.

The previous prime is 400254566363. The next prime is 400254566407. The reversal of 400254566400 is 4665452004.

400254566400 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 5 + 4 + 5 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 79010463744 + 321244102656 = 281088^2 + 566784^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (400254566407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13801881586 + ... + 13801881614.

Almost surely, 2^400254566400 is an apocalyptic number.

400254566400 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 400254566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825973013250).

400254566400 is an abundant number, since it is smaller than the sum of its proper divisors (1251691460100).

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

400254566400 is an frugal number, since it uses more digits than its factorization.

400254566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 400254566400 in words is "four hundred billion, two hundred fifty-four million, five hundred sixty-six thousand, four hundred".