1295364470400 has 2880 divisors, whose sum is σ = 6383245508640. Its totient is φ = 246564864000.

The previous prime is 1295364470371. The next prime is 1295364470417. The reversal of 1295364470400 is 40744635921.

1295364470400 is a `hidden beast` number, since 1 + 2 + 9 + 536 + 4 + 4 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1295364470400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9888278335 + ... + 9888278465.

Almost surely, 2^{1295364470400} is an apocalyptic number.

1295364470400 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 1295364470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191622754320).

1295364470400 is an abundant number, since it is smaller than the sum of its proper divisors (5087881038240).

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

1295364470400 is a wasteful number, since it uses less digits than its factorization.

1295364470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1295364470400 in words is "one trillion, two hundred ninety-five billion, three hundred sixty-four million, four hundred seventy thousand, four hundred".