49407458720256 has 2880 divisors, whose sum is σ = 198785876889600. Its totient is φ = 11896518574080.

The previous prime is 49407458720239. The next prime is 49407458720357. The reversal of 49407458720256 is 65202785470494.

49407458720256 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 7 + 4 + 587 + 20 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 49407458720193 and 49407458720202.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 206725768585 + ... + 206725768823.

It is an arithmetic number, because the mean of its divisors is an integer number (69022873920).

Almost surely, 2^{49407458720256} 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 49407458720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99392938444800).

49407458720256 is an abundant number, since it is smaller than the sum of its proper divisors (149378418169344).

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

49407458720256 is a wasteful number, since it uses less digits than its factorization.

49407458720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 49407458720256 in words is "forty-nine trillion, four hundred seven billion, four hundred fifty-eight million, seven hundred twenty thousand, two hundred fifty-six".