1013480899200 has 1536 divisors, whose sum is σ = 4666201344000. Its totient is φ = 210426163200.

The previous prime is 1013480899199. The next prime is 1013480899219. The reversal of 1013480899200 is 29980843101.

1013480899200 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 480 + 89 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 804988171 + ... + 804989429.

It is an arithmetic number, because the mean of its divisors is an integer number (3037891500).

Almost surely, 2^{1013480899200} is an apocalyptic number.

1013480899200 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 1013480899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333100672000).

1013480899200 is an abundant number, since it is smaller than the sum of its proper divisors (3652720444800).

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

1013480899200 is a wasteful number, since it uses less digits than its factorization.

1013480899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1013480899200 in words is "one trillion, thirteen billion, four hundred eighty million, eight hundred ninety-nine thousand, two hundred".