1013134994400 has 576 divisors, whose sum is σ = 3417531264000. Its totient is φ = 260582400000.

The previous prime is 1013134994393. The next prime is 1013134994411. The reversal of 1013134994400 is 44994313101.

It is a congruent number.

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, 2902965426 + ... + 2902965774.

It is an arithmetic number, because the mean of its divisors is an integer number (5933214000).

Almost surely, 2^{1013134994400} is an apocalyptic number.

1013134994400 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 1013134994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708765632000).

1013134994400 is an abundant number, since it is smaller than the sum of its proper divisors (2404396269600).

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

1013134994400 is a wasteful number, since it uses less digits than its factorization.

1013134994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 1013134994400 in words is "one trillion, thirteen billion, one hundred thirty-four million, nine hundred ninety-four thousand, four hundred".