1295387198400 has 672 divisors, whose sum is σ = 4559290408960. Its totient is φ = 321052999680.

The previous prime is 1295387198387. The next prime is 1295387198459. The reversal of 1295387198400 is 48917835921.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 1123492224 + ... + 1123493376.

Almost surely, 2^{1295387198400} is an apocalyptic number.

1295387198400 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 1295387198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279645204480).

1295387198400 is an abundant number, since it is smaller than the sum of its proper divisors (3263903210560).

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

1295387198400 is a wasteful number, since it uses less digits than its factorization.

1295387198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 1295387198400 in words is "one trillion, two hundred ninety-five billion, three hundred eighty-seven million, one hundred ninety-eight thousand, four hundred".