400374249408000 has 5760 divisors, whose sum is σ = 1827410168263680. Its totient is φ = 85530525696000.

The previous prime is 400374249407981. The next prime is 400374249408059. The reversal of 400374249408000 is 804942473004.

400374249408000 is a `hidden beast` number, since 40 + 0 + 3 + 7 + 42 + 494 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4498587071956 + ... + 4498587072044.

It is an arithmetic number, because the mean of its divisors is an integer number (317258709768).

Almost surely, 2^{400374249408000} is an apocalyptic number.

400374249408000 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 400374249408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913705084131840).

400374249408000 is an abundant number, since it is smaller than the sum of its proper divisors (1427035918855680).

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

400374249408000 is an frugal number, since it uses more digits than its factorization.

400374249408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 400374249408000 in words is "four hundred trillion, three hundred seventy-four billion, two hundred forty-nine million, four hundred eight thousand".