125941362674400 has 1728 divisors, whose sum is σ = 565031611662336. Its totient is φ = 25677969408000.

The previous prime is 125941362674381. The next prime is 125941362674419. The reversal of 125941362674400 is 4476263149521.

125941362674400 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 4 + 1 + 3 + 626 + 7 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125941362674381) and next prime (125941362674419).

It is a super-2 number, since 2×125941362674400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15375574305 + ... + 15375582495.

Almost surely, 2^{125941362674400} is an apocalyptic number.

125941362674400 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 125941362674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282515805831168).

125941362674400 is an abundant number, since it is smaller than the sum of its proper divisors (439090248987936).

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

125941362674400 is a wasteful number, since it uses less digits than its factorization.

125941362674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 125941362674400 in words is "one hundred twenty-five trillion, nine hundred forty-one billion, three hundred sixty-two million, six hundred seventy-four thousand, four hundred".