1616464304400 has 240 divisors, whose sum is σ = 5689453351680. Its totient is φ = 389050483200.

The previous prime is 1616464304387. The next prime is 1616464304431. The reversal of 1616464304400 is 44034646161.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1616464304400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394299 + ... + 2275301.

It is an arithmetic number, because the mean of its divisors is an integer number (23706055632).

Almost surely, 2^{1616464304400} is an apocalyptic number.

1616464304400 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 1616464304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844726675840).

1616464304400 is an abundant number, since it is smaller than the sum of its proper divisors (4072989047280).

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

1616464304400 is a wasteful number, since it uses less digits than its factorization.

1616464304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881174 (or 881163 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 1616464304400 in words is "one trillion, six hundred sixteen billion, four hundred sixty-four million, three hundred four thousand, four hundred".