49240461312 has 312 divisors, whose sum is σ = 163639666944. Its totient is φ = 13974700032.

The previous prime is 49240461247. The next prime is 49240461343. The reversal of 49240461312 is 21316404294.

49240461312 is a `hidden beast` number, since 4 + 9 + 24 + 0 + 4 + 613 + 12 = 666.

It is a super-2 number, since 2×49240461312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 44641753 + ... + 44642855.

It is an arithmetic number, because the mean of its divisors is an integer number (524486112).

Almost surely, 2^49240461312 is an apocalyptic number.

49240461312 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 49240461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81819833472).

49240461312 is an abundant number, since it is smaller than the sum of its proper divisors (114399205632).

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

49240461312 is a wasteful number, since it uses less digits than its factorization.

49240461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 49240461312 in words is "forty-nine billion, two hundred forty million, four hundred sixty-one thousand, three hundred twelve".