49988413440 has 768 divisors, whose sum is σ = 212096102400. Its totient is φ = 10919411712.

The previous prime is 49988413421. The next prime is 49988413469. The reversal of 49988413440 is 4431488994.

49988413440 is a `hidden beast` number, since 499 + 8 + 84 + 1 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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 63 ways as a sum of consecutive naturals, for example, 44512719 + ... + 44513841.

It is an arithmetic number, because the mean of its divisors is an integer number (276166800).

Almost surely, 2^49988413440 is an apocalyptic number.

49988413440 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 49988413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106048051200).

49988413440 is an abundant number, since it is smaller than the sum of its proper divisors (162107688960).

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

49988413440 is a wasteful number, since it uses less digits than its factorization.

49988413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 49988413440 in words is "forty-nine billion, nine hundred eighty-eight million, four hundred thirteen thousand, four hundred forty".