125240067440640 has 960 divisors, whose sum is σ = 458334184734720. Its totient is φ = 32432793845760.

The previous prime is 125240067440623. The next prime is 125240067440641. The reversal of 125240067440640 is 46044760042521.

It is a happy number.

125240067440640 is a `hidden beast` number, since 1 + 2 + 52 + 40 + 0 + 67 + 440 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125240067440641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10521716929 + ... + 10521728831.

It is an arithmetic number, because the mean of its divisors is an integer number (477431442432).

Almost surely, 2^{125240067440640} is an apocalyptic number.

125240067440640 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 125240067440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229167092367360).

125240067440640 is an abundant number, since it is smaller than the sum of its proper divisors (333094117294080).

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

125240067440640 is an equidigital number, since it uses as much as digits as its factorization.

125240067440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12083 (or 12051 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 125240067440640 in words is "one hundred twenty-five trillion, two hundred forty billion, sixty-seven million, four hundred forty thousand, six hundred forty".