1013557739040 has 2304 divisors, whose sum is σ = 4787693568000. Its totient is φ = 195432652800.

The previous prime is 1013557738961. The next prime is 1013557739069. The reversal of 1013557739040 is 409377553101.

1013557739040 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 577 + 39 + 0 + 40 = 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 383 ways as a sum of consecutive naturals, for example, 4240827241 + ... + 4240827479.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992000).

Almost surely, 2^{1013557739040} is an apocalyptic number.

1013557739040 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 1013557739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393846784000).

1013557739040 is an abundant number, since it is smaller than the sum of its proper divisors (3774135828960).

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

1013557739040 is a wasteful number, since it uses less digits than its factorization.

1013557739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 1013557739040 in words is "one trillion, thirteen billion, five hundred fifty-seven million, seven hundred thirty-nine thousand, forty".