400519365120000 has 7280 divisors, whose sum is σ = 1890218482065408. Its totient is φ = 82771476480000.

The previous prime is 400519365119999. The next prime is 400519365120001. The reversal of 400519365120000 is 21563915004.

400519365120000 is a `hidden beast` number, since 4 + 0 + 0 + 51 + 93 + 6 + 512 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400519365119999) and next prime (400519365120001).

It is a super-2 number, since 2×400519365120000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400519365120001) by changing a digit.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 9314403839979 + ... + 9314403840021.

Almost surely, 2^{400519365120000} is an apocalyptic number.

400519365120000 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 400519365120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945109241032704).

400519365120000 is an abundant number, since it is smaller than the sum of its proper divisors (1489699116945408).

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

400519365120000 is an frugal number, since it uses more digits than its factorization.

400519365120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 400519365120000 in words is "four hundred trillion, five hundred nineteen billion, three hundred sixty-five million, one hundred twenty thousand".