125435402400 has 288 divisors, whose sum is σ = 509040419328. Its totient is φ = 26064460800.

The previous prime is 125435402369. The next prime is 125435402429. The reversal of 125435402400 is 4204534521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154582 + ... + 524181.

It is an arithmetic number, because the mean of its divisors is an integer number (1767501456).

Almost surely, 2^125435402400 is an apocalyptic number.

125435402400 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 125435402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254520209664).

125435402400 is an abundant number, since it is smaller than the sum of its proper divisors (383605016928).

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

125435402400 is a wasteful number, since it uses less digits than its factorization.

125435402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678804 (or 678791 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 125435402400 its reverse (4204534521), we get a palindrome (129639936921).

The spelling of 125435402400 in words is "one hundred twenty-five billion, four hundred thirty-five million, four hundred two thousand, four hundred".