49802711040 has 312 divisors, whose sum is σ = 173828812248. Its totient is φ = 13188464640.

The previous prime is 49802711033. The next prime is 49802711041. The reversal of 49802711040 is 4011720894.

It can be written as a sum of positive squares in 4 ways, for example, as 5521084416 + 44281626624 = 74304^2 + 210432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49802710986 and 49802711004.

It is not an unprimeable number, because it can be changed into a prime (49802711041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28937380 + ... + 28939100.

It is an arithmetic number, because the mean of its divisors is an integer number (557143629).

Almost surely, 2^49802711040 is an apocalyptic number.

49802711040 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 49802711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86914406124).

49802711040 is an abundant number, since it is smaller than the sum of its proper divisors (124026101208).

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

49802711040 is a wasteful number, since it uses less digits than its factorization.

49802711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 49802711040 in words is "forty-nine billion, eight hundred two million, seven hundred eleven thousand, forty".