1013378459904 has 864 divisors, whose sum is σ = 3310335508480. Its totient is φ = 308135632896.

The previous prime is 1013378459887. The next prime is 1013378459911. The reversal of 1013378459904 is 4099548733101.

1013378459904 is a `hidden beast` number, since 1 + 0 + 1 + 33 + 78 + 459 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6454639794 + ... + 6454639950.

Almost surely, 2^{1013378459904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013378459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655167754240).

1013378459904 is an abundant number, since it is smaller than the sum of its proper divisors (2296957048576).

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

1013378459904 is a wasteful number, since it uses less digits than its factorization.

1013378459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1013378459904 in words is "one trillion, thirteen billion, three hundred seventy-eight million, four hundred fifty-nine thousand, nine hundred four".