1315267430400 has 1728 divisors, whose sum is σ = 6185004134400. Its totient is φ = 258785280000.

The previous prime is 1315267430377. The next prime is 1315267430429. The reversal of 1315267430400 is 40347625131.

1315267430400 is a `hidden beast` number, since 1 + 3 + 152 + 6 + 74 + 30 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 674149425 + ... + 674151375.

It is an arithmetic number, because the mean of its divisors is an integer number (3579284800).

Almost surely, 2^{1315267430400} is an apocalyptic number.

1315267430400 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 1315267430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092502067200).

1315267430400 is an abundant number, since it is smaller than the sum of its proper divisors (4869736704000).

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

1315267430400 is a wasteful number, since it uses less digits than its factorization.

1315267430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1315267430400 in words is "one trillion, three hundred fifteen billion, two hundred sixty-seven million, four hundred thirty thousand, four hundred".