49864933440 has 672 divisors, whose sum is σ = 205299234816. Its totient is φ = 10868981760.

The previous prime is 49864933423. The next prime is 49864933451. The reversal of 49864933440 is 4433946894.

49864933440 is a `hidden beast` number, since 4 + 9 + 86 + 493 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 45621534 + ... + 45622626.

Almost surely, 2^49864933440 is an apocalyptic number.

49864933440 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 49864933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102649617408).

49864933440 is an abundant number, since it is smaller than the sum of its proper divisors (155434301376).

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

49864933440 is a wasteful number, since it uses less digits than its factorization.

49864933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 49864933440 in words is "forty-nine billion, eight hundred sixty-four million, nine hundred thirty-three thousand, four hundred forty".