1295920998400 has 576 divisors, whose sum is σ = 3790557388800. Its totient is φ = 430198947840.

The previous prime is 1295920998377. The next prime is 1295920998433. The reversal of 1295920998400 is 48990295921.

It is a super-2 number, since 2×1295920998400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1802393241 + ... + 1802393959.

It is an arithmetic number, because the mean of its divisors is an integer number (6580828800).

Almost surely, 2^{1295920998400} is an apocalyptic number.

1295920998400 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 1295920998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895278694400).

1295920998400 is an abundant number, since it is smaller than the sum of its proper divisors (2494636390400).

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

1295920998400 is a wasteful number, since it uses less digits than its factorization.

1295920998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 58.

The spelling of 1295920998400 in words is "one trillion, two hundred ninety-five billion, nine hundred twenty million, nine hundred ninety-eight thousand, four hundred".