49935191040 has 880 divisors, whose sum is σ = 207724188672. Its totient is φ = 11235262464.

The previous prime is 49935191039. The next prime is 49935191041. The reversal of 49935191040 is 4019153994.

49935191040 is a `hidden beast` number, since 4 + 9 + 93 + 519 + 1 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (49935191039) and next prime (49935191041).

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

It is not an unprimeable number, because it can be changed into a prime (49935191041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 299013037 + ... + 299013203.

Almost surely, 2^49935191040 is an apocalyptic number.

49935191040 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 49935191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103862094336).

49935191040 is an abundant number, since it is smaller than the sum of its proper divisors (157788997632).

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

49935191040 is a wasteful number, since it uses less digits than its factorization.

49935191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

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

The spelling of 49935191040 in words is "forty-nine billion, nine hundred thirty-five million, one hundred ninety-one thousand, forty".