725434214400 has 864 divisors, whose sum is σ = 2984771462400. Its totient is φ = 164944281600.

The previous prime is 725434214357. The next prime is 725434214459. The reversal of 725434214400 is 4412434527.

725434214400 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 34 + 214 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 770917930 + ... + 770918870.

It is an arithmetic number, because the mean of its divisors is an integer number (3454596600).

Almost surely, 2^725434214400 is an apocalyptic number.

725434214400 is a gapful number since it is divisible by the number (70) 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 725434214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492385731200).

725434214400 is an abundant number, since it is smaller than the sum of its proper divisors (2259337248000).

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

725434214400 is a wasteful number, since it uses less digits than its factorization.

725434214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 725434214400 its reverse (4412434527), we get a palindrome (729846648927).

The spelling of 725434214400 in words is "seven hundred twenty-five billion, four hundred thirty-four million, two hundred fourteen thousand, four hundred".