400449760200000 has 2688 divisors, whose sum is σ = 1757770695475200. Its totient is φ = 88557753600000.

The previous prime is 400449760199959. The next prime is 400449760200019. The reversal of 400449760200000 is 2067944004.

400449760200000 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 49 + 7 + 602 + 0 + 0 + 0 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 94915797891 + ... + 94915802109.

It is an arithmetic number, because the mean of its divisors is an integer number (653932550400).

Almost surely, 2^{400449760200000} is an apocalyptic number.

400449760200000 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 400449760200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878885347737600).

400449760200000 is an abundant number, since it is smaller than the sum of its proper divisors (1357320935275200).

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

400449760200000 is an frugal number, since it uses more digits than its factorization.

400449760200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 400449760200000 in words is "four hundred trillion, four hundred forty-nine billion, seven hundred sixty million, two hundred thousand".