1007742930496 has 63 divisors (see below), whose sum is σ = 2071552987569. Its totient is φ = 486384154368.

The previous prime is 1007742930407. The next prime is 1007742930497. The reversal of 1007742930496 is 6940392477001.

The square root of 1007742930496 is 1003864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 528435948096 + 479306982400 = 726936^2 + 692320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007742930497) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232894285 + ... + 232898611.

Almost surely, 2^{1007742930496} is an apocalyptic number.

1007742930496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1007742930496 is the 1003864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007742930496

1007742930496 is an abundant number, since it is smaller than the sum of its proper divisors (1063810057073).

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

1007742930496 is an frugal number, since it uses more digits than its factorization.

1007742930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8724 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 1007742930496 in words is "one trillion, seven billion, seven hundred forty-two million, nine hundred thirty thousand, four hundred ninety-six".