49408842960 has 240 divisors, whose sum is σ = 169818287184. Its totient is φ = 12869296128.

The previous prime is 49408842911. The next prime is 49408842979. The reversal of 49408842960 is 6924880494.

49408842960 is a `hidden beast` number, since 49 + 40 + 88 + 429 + 60 = 666.

49408842960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 222281²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 1195223184 + 48213619776 = 34572^2 + 219576^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 49408842897 and 49408842906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8888502 + ... + 8894058.

Almost surely, 2^49408842960 is an apocalyptic number.

49408842960 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 49408842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84909143592).

49408842960 is an abundant number, since it is smaller than the sum of its proper divisors (120409444224).

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

49408842960 is a wasteful number, since it uses less digits than its factorization.

49408842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 49408842960 in words is "forty-nine billion, four hundred eight million, eight hundred forty-two thousand, nine hundred sixty".