19404642072456 has 320 divisors, whose sum is σ = 55484114400000. Its totient is φ = 6334898678784.

The previous prime is 19404642072421. The next prime is 19404642072481. The reversal of 19404642072456 is 65427024640491.

19404642072456 is a `hidden beast` number, since 1 + 9 + 40 + 4 + 64 + 20 + 72 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3317597020 + ... + 3317602868.

It is an arithmetic number, because the mean of its divisors is an integer number (173387857500).

Almost surely, 2^{19404642072456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19404642072456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27742057200000).

19404642072456 is an abundant number, since it is smaller than the sum of its proper divisors (36079472327544).

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

19404642072456 is a wasteful number, since it uses less digits than its factorization.

19404642072456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 19404642072456 in words is "nineteen trillion, four hundred four billion, six hundred forty-two million, seventy-two thousand, four hundred fifty-six".