400884404000 has 48 divisors (see below), whose sum is σ = 984972990456. Its totient is φ = 160353760000.

The previous prime is 400884403937. The next prime is 400884404069. The reversal of 400884404000 is 404488004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41800620304 + 359083783696 = 204452^2 + 599236^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50106551 + ... + 50114550.

Almost surely, 2^400884404000 is an apocalyptic number.

400884404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400884404000 is an abundant number, since it is smaller than the sum of its proper divisors (584088586456).

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

400884404000 is a wasteful number, since it uses less digits than its factorization.

400884404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100221126 (or 100221108 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 400884404000 in words is "four hundred billion, eight hundred eighty-four million, four hundred four thousand".