49716010240 has 144 divisors (see below), whose sum is σ = 128543816016. Its totient is φ = 18314035200.

The previous prime is 49716010231. The next prime is 49716010241. The reversal of 49716010240 is 4201061794.

It can be written as a sum of positive squares in 8 ways, for example, as 296941824 + 49419068416 = 17232^2 + 222304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49716010196 and 49716010205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49716010241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7667800 + ... + 7674280.

It is an arithmetic number, because the mean of its divisors is an integer number (892665389).

Almost surely, 2^49716010240 is an apocalyptic number.

49716010240 is a gapful number since it is divisible by the number (40) 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 49716010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64271908008).

49716010240 is an abundant number, since it is smaller than the sum of its proper divisors (78827805776).

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

49716010240 is a wasteful number, since it uses less digits than its factorization.

49716010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 49716010240 in words is "forty-nine billion, seven hundred sixteen million, ten thousand, two hundred forty".