1074715610496 has 128 divisors (see below), whose sum is σ = 3131632886400. Its totient is φ = 323851776000.

The previous prime is 1074715610471. The next prime is 1074715610533. The reversal of 1074715610496 is 6940165174701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45396 + ... + 1466796.

It is an arithmetic number, because the mean of its divisors is an integer number (24465881925).

Almost surely, 2^{1074715610496} is an apocalyptic number.

1074715610496 is a gapful number since it is divisible by the number (16) 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 1074715610496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565816443200).

1074715610496 is an abundant number, since it is smaller than the sum of its proper divisors (2056917275904).

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

1074715610496 is a wasteful number, since it uses less digits than its factorization.

1074715610496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421608 (or 1421596 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 1074715610496 in words is "one trillion, seventy-four billion, seven hundred fifteen million, six hundred ten thousand, four hundred ninety-six".