16412735216640 has 704 divisors, whose sum is σ = 61614718341120. Its totient is φ = 3650633072640.

The previous prime is 16412735216543. The next prime is 16412735216651. The reversal of 16412735216640 is 4661253721461.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16412735216640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1802998329 + ... + 1803007431.

Almost surely, 2^{16412735216640} is an apocalyptic number.

16412735216640 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 16412735216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30807359170560).

16412735216640 is an abundant number, since it is smaller than the sum of its proper divisors (45201983124480).

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

16412735216640 is a wasteful number, since it uses less digits than its factorization.

16412735216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9588 (or 9570 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 16412735216640 in words is "sixteen trillion, four hundred twelve billion, seven hundred thirty-five million, two hundred sixteen thousand, six hundred forty".