1213315514400 has 576 divisors, whose sum is σ = 4437094757760. Its totient is φ = 285393715200.

The previous prime is 1213315514273. The next prime is 1213315514423. The reversal of 1213315514400 is 44155133121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399509682 + ... + 399512718.

It is an arithmetic number, because the mean of its divisors is an integer number (7703289510).

Almost surely, 2^{1213315514400} is an apocalyptic number.

1213315514400 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 1213315514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218547378880).

1213315514400 is an abundant number, since it is smaller than the sum of its proper divisors (3223779243360).

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

1213315514400 is a wasteful number, since it uses less digits than its factorization.

1213315514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1213315514400 in words is "one trillion, two hundred thirteen billion, three hundred fifteen million, five hundred fourteen thousand, four hundred".