1298815764480 has 1152 divisors, whose sum is σ = 5028131777760. Its totient is φ = 308029685760.

The previous prime is 1298815764461. The next prime is 1298815764511. The reversal of 1298815764480 is 844675188921.

1298815764480 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 81 + 5 + 76 + 4 + 480 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 77667001344 + 1221148763136 = 278688^2 + 1105056^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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, 6729615264 + ... + 6729615456.

Almost surely, 2^{1298815764480} is an apocalyptic number.

1298815764480 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 1298815764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514065888880).

1298815764480 is an abundant number, since it is smaller than the sum of its proper divisors (3729316013280).

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

1298815764480 is a wasteful number, since it uses less digits than its factorization.

1298815764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 1298815764480 in words is "one trillion, two hundred ninety-eight billion, eight hundred fifteen million, seven hundred sixty-four thousand, four hundred eighty".