125349949440 has 1040 divisors, whose sum is σ = 489529545120. Its totient is φ = 30576476160.

The previous prime is 125349949393. The next prime is 125349949441. The reversal of 125349949440 is 44949943521.

125349949440 is a `hidden beast` number, since 1 + 25 + 3 + 4 + 99 + 494 + 40 = 666.

125349949440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125349949440² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (125349949441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1292267472 + ... + 1292267568.

Almost surely, 2^125349949440 is an apocalyptic number.

125349949440 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 125349949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244764772560).

125349949440 is an abundant number, since it is smaller than the sum of its proper divisors (364179595680).

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

125349949440 is an equidigital number, since it uses as much as digits as its factorization.

125349949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 125349949440 in words is "one hundred twenty-five billion, three hundred forty-nine million, nine hundred forty-nine thousand, four hundred forty".