400200558840 has 896 divisors, whose sum is σ = 1450666324800. Its totient is φ = 99164528640.

The previous prime is 400200558827. The next prime is 400200558851. The reversal of 400200558840 is 48855002004.

400200558840 is a `hidden beast` number, since 4 + 0 + 0 + 20 + 0 + 558 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 400200558795 and 400200558804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3671564706 + ... + 3671564814.

Almost surely, 2^400200558840 is an apocalyptic number.

400200558840 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 400200558840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725333162400).

400200558840 is an abundant number, since it is smaller than the sum of its proper divisors (1050465765960).

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

400200558840 is a wasteful number, since it uses less digits than its factorization.

400200558840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 400200558840 in words is "four hundred billion, two hundred million, five hundred fifty-eight thousand, eight hundred forty".