49131995040 has 288 divisors, whose sum is σ = 174247609536. Its totient is φ = 13073633280.

The previous prime is 49131995023. The next prime is 49131995051. The reversal of 49131995040 is 4059913194.

49131995040 is a `hidden beast` number, since 4 + 9 + 131 + 9 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×49131995040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23054775 + ... + 23056905.

It is an arithmetic number, because the mean of its divisors is an integer number (605026422).

Almost surely, 2^49131995040 is an apocalyptic number.

49131995040 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 49131995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87123804768).

49131995040 is an abundant number, since it is smaller than the sum of its proper divisors (125115614496).

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

49131995040 is a wasteful number, since it uses less digits than its factorization.

49131995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 49131995040 in words is "forty-nine billion, one hundred thirty-one million, nine hundred ninety-five thousand, forty".