400413358800 has 2160 divisors, whose sum is σ = 1875844938240. Its totient is φ = 81203834880.

The previous prime is 400413358783. The next prime is 400413358817. The reversal of 400413358800 is 8853314004.

400413358800 is a `hidden beast` number, since 4 + 0 + 0 + 41 + 33 + 588 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400413358783) and next prime (400413358817).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1795575489 + ... + 1795575711.

Almost surely, 2^400413358800 is an apocalyptic number.

400413358800 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 400413358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937922469120).

400413358800 is an abundant number, since it is smaller than the sum of its proper divisors (1475431579440).

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

400413358800 is a wasteful number, since it uses less digits than its factorization.

400413358800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 400413358800 in words is "four hundred billion, four hundred thirteen million, three hundred fifty-eight thousand, eight hundred".