1616415640000 has 560 divisors, whose sum is σ = 4795204243456. Its totient is φ = 528768000000.

The previous prime is 1616415639977. The next prime is 1616415640013. The reversal of 1616415640000 is 465146161.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×1616415640000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 633638725 + ... + 633641275.

Almost surely, 2^{1616415640000} is an apocalyptic number.

1616415640000 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 1616415640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397602121728).

1616415640000 is an abundant number, since it is smaller than the sum of its proper divisors (3178788603456).

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

1616415640000 is an equidigital number, since it uses as much as digits as its factorization.

1616415640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 1616415640000 in words is "one trillion, six hundred sixteen billion, four hundred fifteen million, six hundred forty thousand".