9412501280400 has 135 divisors (see below), whose sum is σ = 32664632843739. Its totient is φ = 2509951253760.

The previous prime is 9412501280387. The next prime is 9412501280411. The reversal of 9412501280400 is 40821052149.

The square root of 9412501280400 is 3067980.

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

9412501280400 is a `hidden beast` number, since 9 + 4 + 125 + 0 + 128 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 626067067536 + 8786434212864 = 791244^2 + 2964192^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184053234 + ... + 184104366.

Almost surely, 2^{9412501280400} is an apocalyptic number.

9412501280400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9412501280400 is the 3067980-th square number.

It is an amenable number.

9412501280400 is an abundant number, since it is smaller than the sum of its proper divisors (23252131563339).

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

9412501280400 is an frugal number, since it uses more digits than its factorization.

9412501280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102290 (or 51143 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 9412501280400 by its sum of digits (36), we get a square (338850046094400 = 18407880²).

9412501280400 divided by its sum of digits (36) gives a square (261458368900 = 511330²).

The spelling of 9412501280400 in words is "nine trillion, four hundred twelve billion, five hundred one million, two hundred eighty thousand, four hundred".