1025399264400 has 405 divisors, whose sum is σ = 4141104444633. Its totient is φ = 234279763200.

The previous prime is 1025399264387. The next prime is 1025399264423. The reversal of 1025399264400 is 44629935201.

The square root of 1025399264400 is 1012620.

It is a perfect power (a square), and thus also a powerful number.

1025399264400 is a `hidden beast` number, since 10 + 2 + 539 + 9 + 2 + 64 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 369143735184 + 656255529216 = 607572^2 + 810096^2 .

It is a super-2 number, since 2×1025399264400² (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 80 ways as a sum of consecutive naturals, for example, 425299195 + ... + 425301605.

Almost surely, 2^{1025399264400} is an apocalyptic number.

1025399264400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1025399264400 is the 1012620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025399264400

1025399264400 is an abundant number, since it is smaller than the sum of its proper divisors (3115705180233).

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

1025399264400 is an equidigital number, since it uses as much as digits as its factorization.

1025399264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1025399264400 in words is "one trillion, twenty-five billion, three hundred ninety-nine million, two hundred sixty-four thousand, four hundred".