1258480112400 has 405 divisors, whose sum is σ = 5082202884213. Its totient is φ = 287544902400.

The previous prime is 1258480112381. The next prime is 1258480112401. The reversal of 1258480112400 is 42110848521.

The square root of 1258480112400 is 1121820.

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

1258480112400 is a `hidden beast` number, since 1 + 2 + 58 + 480 + 1 + 124 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 453052840464 + 805427271936 = 673092^2 + 897456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1258480112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 471163065 + ... + 471165735.

Almost surely, 2^{1258480112400} is an apocalyptic number.

1258480112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1258480112400 is the 1121820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258480112400

1258480112400 is an abundant number, since it is smaller than the sum of its proper divisors (3823722771813).

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

1258480112400 is an equidigital number, since it uses as much as digits as its factorization.

1258480112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Multiplying 1258480112400 by its sum of digits (36), we get a square (45305284046400 = 6730920²).

1258480112400 divided by its sum of digits (36) gives a square (34957780900 = 186970²).

The spelling of 1258480112400 in words is "one trillion, two hundred fifty-eight billion, four hundred eighty million, one hundred twelve thousand, four hundred".