125413404542440 has 384 divisors, whose sum is σ = 340741620794880. Its totient is φ = 41388641280000.

The previous prime is 125413404542429. The next prime is 125413404542443. The reversal of 125413404542440 is 44245404314521.

It is a super-2 number, since 2×125413404542440² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125413404542443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5827478880 + ... + 5827500400.

It is an arithmetic number, because the mean of its divisors is an integer number (887347970820).

Almost surely, 2^{125413404542440} is an apocalyptic number.

125413404542440 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 125413404542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170370810397440).

125413404542440 is an abundant number, since it is smaller than the sum of its proper divisors (215328216252440).

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

125413404542440 is a wasteful number, since it uses less digits than its factorization.

125413404542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22441 (or 22430 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 43.

Adding to 125413404542440 its reverse (44245404314521), we get a palindrome (169658808856961).

The spelling of 125413404542440 in words is "one hundred twenty-five trillion, four hundred thirteen billion, four hundred four million, five hundred forty-two thousand, four hundred forty".