400052515120000 has 320 divisors, whose sum is σ = 1020892842842400. Its totient is φ = 156055375872000.

The previous prime is 400052515119967. The next prime is 400052515120043. The reversal of 400052515120000 is 21515250004.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×400052515120000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 519375157 + ... + 520144843.

Almost surely, 2^{400052515120000} is an apocalyptic number.

400052515120000 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 400052515120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510446421421200).

400052515120000 is an abundant number, since it is smaller than the sum of its proper divisors (620840327722400).

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

400052515120000 is an frugal number, since it uses more digits than its factorization.

400052515120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769883 (or 769856 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 400052515120000 in words is "four hundred trillion, fifty-two billion, five hundred fifteen million, one hundred twenty thousand".