725114423040 has 576 divisors, whose sum is σ = 2740291706880. Its totient is φ = 159910133760.

The previous prime is 725114423027. The next prime is 725114423051. The reversal of 725114423040 is 40324411527.

It is a junction number, because it is equal to n+sod(n) for n = 725114422992 and 725114423010.

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, 324144802 + ... + 324147038.

It is an arithmetic number, because the mean of its divisors is an integer number (4757450880).

Almost surely, 2^725114423040 is an apocalyptic number.

725114423040 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 725114423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370145853440).

725114423040 is an abundant number, since it is smaller than the sum of its proper divisors (2015177283840).

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

725114423040 is a wasteful number, since it uses less digits than its factorization.

725114423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 725114423040 its reverse (40324411527), we get a palindrome (765438834567).

The spelling of 725114423040 in words is "seven hundred twenty-five billion, one hundred fourteen million, four hundred twenty-three thousand, forty".