49987409472 has 1344 divisors, whose sum is σ = 211243468800. Its totient is φ = 11354204160.

The previous prime is 49987409413. The next prime is 49987409477. The reversal of 49987409472 is 27490478994.

49987409472 is a `hidden beast` number, since 4 + 9 + 98 + 74 + 0 + 9 + 472 = 666.

49987409472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×49987409472² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (49987409477) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2630916279 + ... + 2630916297.

It is an arithmetic number, because the mean of its divisors is an integer number (157175200).

Almost surely, 2^49987409472 is an apocalyptic number.

49987409472 is a gapful number since it is divisible by the number (42) 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 49987409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105621734400).

49987409472 is an abundant number, since it is smaller than the sum of its proper divisors (161256059328).

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

49987409472 is a wasteful number, since it uses less digits than its factorization.

49987409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 49987409472 in words is "forty-nine billion, nine hundred eighty-seven million, four hundred nine thousand, four hundred seventy-two".