125510420400 has 480 divisors, whose sum is σ = 447965614080. Its totient is φ = 29893248000.

The previous prime is 125510420339. The next prime is 125510420449. The reversal of 125510420400 is 4024015521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37230715 + ... + 37234085.

It is an arithmetic number, because the mean of its divisors is an integer number (933261696).

Almost surely, 2^125510420400 is an apocalyptic number.

125510420400 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 125510420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223982807040).

125510420400 is an abundant number, since it is smaller than the sum of its proper divisors (322455193680).

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

125510420400 is a wasteful number, since it uses less digits than its factorization.

125510420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 125510420400 its reverse (4024015521), we get a palindrome (129534435921).

The spelling of 125510420400 in words is "one hundred twenty-five billion, five hundred ten million, four hundred twenty thousand, four hundred".