16204565417040 has 2560 divisors, whose sum is σ = 78875271659520. Its totient is φ = 2971926650880.

The previous prime is 16204565416997. The next prime is 16204565417071. The reversal of 16204565417040 is 4071456540261.

16204565417040 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 4 + 565 + 41 + 7 + 0 + 40 = 666.

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 511 ways as a sum of consecutive naturals, for example, 6017289934 + ... + 6017292626.

It is an arithmetic number, because the mean of its divisors is an integer number (30810652992).

Almost surely, 2^{16204565417040} is an apocalyptic number.

16204565417040 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 16204565417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39437635829760).

16204565417040 is an abundant number, since it is smaller than the sum of its proper divisors (62670706242480).

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

16204565417040 is a wasteful number, since it uses less digits than its factorization.

16204565417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 16204565417040 in words is "sixteen trillion, two hundred four billion, five hundred sixty-five million, four hundred seventeen thousand, forty".