49009461120 has 192 divisors, whose sum is σ = 169865691840. Its totient is φ = 13020549120.

The previous prime is 49009461107. The next prime is 49009461139. The reversal of 49009461120 is 2116490094.

It is a happy number.

49009461120 is a `hidden beast` number, since 490 + 0 + 9 + 46 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545262 + ... + 1576658.

It is an arithmetic number, because the mean of its divisors is an integer number (884717145).

Almost surely, 2^49009461120 is an apocalyptic number.

49009461120 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 49009461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84932845920).

49009461120 is an abundant number, since it is smaller than the sum of its proper divisors (120856230720).

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

49009461120 is a wasteful number, since it uses less digits than its factorization.

49009461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31693 (or 31678 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 49009461120 in words is "forty-nine billion, nine million, four hundred sixty-one thousand, one hundred twenty".