49301096040 has 512 divisors, whose sum is σ = 191935872000. Its totient is φ = 11024252928.

The previous prime is 49301095981. The next prime is 49301096059. The reversal of 49301096040 is 4069010394.

49301096040 is a `hidden beast` number, since 4 + 9 + 30 + 10 + 9 + 604 + 0 = 666.

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 = 49301095986 and 49301096004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86644876 + ... + 86645444.

It is an arithmetic number, because the mean of its divisors is an integer number (374874750).

Almost surely, 2^49301096040 is an apocalyptic number.

49301096040 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 49301096040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95967936000).

49301096040 is an abundant number, since it is smaller than the sum of its proper divisors (142634775960).

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

49301096040 is a wasteful number, since it uses less digits than its factorization.

49301096040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 49301096040 in words is "forty-nine billion, three hundred one million, ninety-six thousand, forty".