725438941417140 has 24 divisors (see below), whose sum is σ = 2031229035968160. Its totient is φ = 193450384377888.

The previous prime is 725438941417133. The next prime is 725438941417259. The reversal of 725438941417140 is 41714149834527.

It is a super-3 number, since 3×725438941417140³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 12090649023619 = 725438941417140 / (7 + 2 + 5 + 4 + 3 + 8 + 9 + 4 + 1 + 4 + 1 + 7 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6045324511750 + ... + 6045324511869.

It is an arithmetic number, because the mean of its divisors is an integer number (84634543165340).

Almost surely, 2^{725438941417140} is an apocalyptic number.

It is an amenable number.

725438941417140 is an abundant number, since it is smaller than the sum of its proper divisors (1305790094551020).

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

725438941417140 is a wasteful number, since it uses less digits than its factorization.

725438941417140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12090649023631 (or 12090649023629 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 725438941417140 in words is "seven hundred twenty-five trillion, four hundred thirty-eight billion, nine hundred forty-one million, four hundred seventeen thousand, one hundred forty".