49412782080 has 384 divisors, whose sum is σ = 185996865600. Its totient is φ = 12400459776.

The previous prime is 49412782061. The next prime is 49412782093. The reversal of 49412782080 is 8028721494.

49412782080 is a `hidden beast` number, since 494 + 1 + 2 + 7 + 82 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4694904 + ... + 4705416.

Almost surely, 2^49412782080 is an apocalyptic number.

49412782080 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 49412782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92998432800).

49412782080 is an abundant number, since it is smaller than the sum of its proper divisors (136584083520).

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

49412782080 is a wasteful number, since it uses less digits than its factorization.

49412782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 49412782080 in words is "forty-nine billion, four hundred twelve million, seven hundred eighty-two thousand, eighty".