125440573440 has 960 divisors, whose sum is σ = 507327528960. Its totient is φ = 25763512320.

The previous prime is 125440573429. The next prime is 125440573451. The reversal of 125440573440 is 44375044521.

It is an interprime number because it is at equal distance from previous prime (125440573429) and next prime (125440573451).

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1587855321 + ... + 1587855399.

It is an arithmetic number, because the mean of its divisors is an integer number (528466176).

Almost surely, 2^125440573440 is an apocalyptic number.

125440573440 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 125440573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253663764480).

125440573440 is an abundant number, since it is smaller than the sum of its proper divisors (381886955520).

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

125440573440 is an equidigital number, since it uses as much as digits as its factorization.

125440573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The spelling of 125440573440 in words is "one hundred twenty-five billion, four hundred forty million, five hundred seventy-three thousand, four hundred forty".