1013679451200 has 336 divisors, whose sum is σ = 3587266400256. Its totient is φ = 249121996800.

The previous prime is 1013679451079. The next prime is 1013679451223. The reversal of 1013679451200 is 21549763101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39985729 + ... + 40011071.

It is an arithmetic number, because the mean of its divisors is an integer number (10676388096).

Almost surely, 2^{1013679451200} is an apocalyptic number.

1013679451200 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 1013679451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793633200128).

1013679451200 is an abundant number, since it is smaller than the sum of its proper divisors (2573586949056).

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

1013679451200 is a wasteful number, since it uses less digits than its factorization.

1013679451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26022 (or 26007 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 1013679451200 in words is "one trillion, thirteen billion, six hundred seventy-nine million, four hundred fifty-one thousand, two hundred".