1316615078400 has 240 divisors, whose sum is σ = 4366715699808. Its totient is φ = 349696000000.

The previous prime is 1316615078299. The next prime is 1316615078431. The reversal of 1316615078400 is 48705166131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9570100 + ... + 9706700.

Almost surely, 2^{1316615078400} is an apocalyptic number.

1316615078400 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 1316615078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183357849904).

1316615078400 is an abundant number, since it is smaller than the sum of its proper divisors (3050100621408).

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

1316615078400 is a wasteful number, since it uses less digits than its factorization.

1316615078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136883 (or 136862 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1316615078400 in words is "one trillion, three hundred sixteen billion, six hundred fifteen million, seventy-eight thousand, four hundred".