725712141440 has 128 divisors (see below), whose sum is σ = 2038211017920. Its totient is φ = 243595653120.

The previous prime is 725712141439. The next prime is 725712141461. The reversal of 725712141440 is 44141217527.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×725712141440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 725712141394 and 725712141403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3873254 + ... + 4056293.

Almost surely, 2^725712141440 is an apocalyptic number.

It is an amenable number.

725712141440 is an abundant number, since it is smaller than the sum of its proper divisors (1312498876480).

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

725712141440 is a wasteful number, since it uses less digits than its factorization.

725712141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929590 (or 7929578 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

Adding to 725712141440 its reverse (44141217527), we get a palindrome (769853358967).

The spelling of 725712141440 in words is "seven hundred twenty-five billion, seven hundred twelve million, one hundred forty-one thousand, four hundred forty".