49786007040 has 1440 divisors, whose sum is σ = 231415367040. Its totient is φ = 9754214400.

The previous prime is 49786007003. The next prime is 49786007071. The reversal of 49786007040 is 4070068794.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 235952535 + ... + 235952745.

It is an arithmetic number, because the mean of its divisors is an integer number (160705116).

Almost surely, 2^49786007040 is an apocalyptic number.

49786007040 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 49786007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115707683520).

49786007040 is an abundant number, since it is smaller than the sum of its proper divisors (181629360000).

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

49786007040 is a wasteful number, since it uses less digits than its factorization.

49786007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 49786007040 in words is "forty-nine billion, seven hundred eighty-six million, seven thousand, forty".