49941048960 has 896 divisors, whose sum is σ = 201316959360. Its totient is φ = 11734917120.

The previous prime is 49941048943. The next prime is 49941048977. The reversal of 49941048960 is 6984014994.

It is a happy number.

49941048960 is a `hidden beast` number, since 4 + 9 + 94 + 10 + 489 + 60 = 666.

49941048960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49941048943) and next prime (49941048977).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49941048897 and 49941048906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 189889789 + ... + 189890051.

Almost surely, 2^49941048960 is an apocalyptic number.

49941048960 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 49941048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100658479680).

49941048960 is an abundant number, since it is smaller than the sum of its proper divisors (151375910400).

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

49941048960 is a wasteful number, since it uses less digits than its factorization.

49941048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 49941048960 in words is "forty-nine billion, nine hundred forty-one million, forty-eight thousand, nine hundred sixty".