49451630014080 has 768 divisors, whose sum is σ = 196169798672640. Its totient is φ = 11244737986560.

The previous prime is 49451630013917. The next prime is 49451630014093. The reversal of 49451630014080 is 8041003615494.

49451630014080 is a `hidden beast` number, since 4 + 9 + 4 + 5 + 1 + 630 + 0 + 1 + 4 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×49451630014080² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6827502939 + ... + 6827510181.

It is an arithmetic number, because the mean of its divisors is an integer number (255429425355).

Almost surely, 2^{49451630014080} is an apocalyptic number.

49451630014080 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 49451630014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98084899336320).

49451630014080 is an abundant number, since it is smaller than the sum of its proper divisors (146718168658560).

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

49451630014080 is a wasteful number, since it uses less digits than its factorization.

49451630014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8129 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 49451630014080 in words is "forty-nine trillion, four hundred fifty-one billion, six hundred thirty million, fourteen thousand, eighty".