727401454416 has 1280 divisors, whose sum is σ = 2918213222400. Its totient is φ = 167907852288.

The previous prime is 727401454357. The next prime is 727401454421. The reversal of 727401454416 is 614454104727.

727401454416 is a `hidden beast` number, since 7 + 27 + 40 + 145 + 441 + 6 = 666.

It is a super-2 number, since 2×727401454416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 568726065 + ... + 568727343.

It is an arithmetic number, because the mean of its divisors is an integer number (2279854080).

Almost surely, 2^727401454416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727401454416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459106611200).

727401454416 is an abundant number, since it is smaller than the sum of its proper divisors (2190811767984).

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

727401454416 is a wasteful number, since it uses less digits than its factorization.

727401454416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 727401454416 in words is "seven hundred twenty-seven billion, four hundred one million, four hundred fifty-four thousand, four hundred sixteen".