125090409218940 has 1152 divisors, whose sum is σ = 470834100172800. Its totient is φ = 27519239946240.

The previous prime is 125090409218933. The next prime is 125090409218953. The reversal of 125090409218940 is 49812904090521.

125090409218940 is a `hidden beast` number, since 1 + 2 + 50 + 9 + 0 + 409 + 2 + 189 + 4 + 0 = 666.

It is a super-2 number, since 2×125090409218940² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22112496592 + ... + 22112502248.

It is an arithmetic number, because the mean of its divisors is an integer number (408710156400).

Almost surely, 2^{125090409218940} is an apocalyptic number.

125090409218940 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 125090409218940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235417050086400).

125090409218940 is an abundant number, since it is smaller than the sum of its proper divisors (345743690953860).

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

125090409218940 is a wasteful number, since it uses less digits than its factorization.

125090409218940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 125090409218940 in words is "one hundred twenty-five trillion, ninety billion, four hundred nine million, two hundred eighteen thousand, nine hundred forty".