16842190478400 has 1008 divisors, whose sum is σ = 69769153059840. Its totient is φ = 3773932646400.

The previous prime is 16842190478383. The next prime is 16842190478401. The reversal of 16842190478400 is 487409124861.

16842190478400 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 2 + 190 + 47 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×16842190478400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16842190478401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1281060627 + ... + 1281073773.

Almost surely, 2^{16842190478400} is an apocalyptic number.

16842190478400 is a gapful number since it is divisible by the number (10) 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 16842190478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34884576529920).

16842190478400 is an abundant number, since it is smaller than the sum of its proper divisors (52926962581440).

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

16842190478400 is a wasteful number, since it uses less digits than its factorization.

16842190478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13432 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 16842190478400 in words is "sixteen trillion, eight hundred forty-two billion, one hundred ninety million, four hundred seventy-eight thousand, four hundred".