49964145840 has 1280 divisors, whose sum is σ = 216549949440. Its totient is φ = 10346434560.

The previous prime is 49964145827. The next prime is 49964145857. The reversal of 49964145840 is 4854146994.

49964145840 is a `hidden beast` number, since 4 + 99 + 64 + 1 + 458 + 40 = 666.

It is a super-3 number, since 3×49964145840³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 745733487 + ... + 745733553.

It is an arithmetic number, because the mean of its divisors is an integer number (169179648).

Almost surely, 2^49964145840 is an apocalyptic number.

49964145840 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 49964145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108274974720).

49964145840 is an abundant number, since it is smaller than the sum of its proper divisors (166585803600).

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

49964145840 is a wasteful number, since it uses less digits than its factorization.

49964145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 49964145840 in words is "forty-nine billion, nine hundred sixty-four million, one hundred forty-five thousand, eight hundred forty".