1300026398400 has 504 divisors, whose sum is σ = 4697580526080. Its totient is φ = 340926382080.

The previous prime is 1300026398389. The next prime is 1300026398441. The reversal of 1300026398400 is 48936200031.

1300026398400 is a `hidden beast` number, since 1 + 300 + 0 + 263 + 98 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 402607986 + ... + 402611214.

Almost surely, 2^{1300026398400} is an apocalyptic number.

1300026398400 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 1300026398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348790263040).

1300026398400 is an abundant number, since it is smaller than the sum of its proper divisors (3397554127680).

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

1300026398400 is a wasteful number, since it uses less digits than its factorization.

1300026398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1300026398400 in words is "one trillion, three hundred billion, twenty-six million, three hundred ninety-eight thousand, four hundred".