48480414710400 has 960 divisors, whose sum is σ = 181843874372160. Its totient is φ = 12716476416000.

The previous prime is 48480414710359. The next prime is 48480414710411. The reversal of 48480414710400 is 401741408484.

48480414710400 is a `hidden beast` number, since 4 + 84 + 80 + 41 + 47 + 10 + 400 = 666.

48480414710400 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 (960).

It is a super-2 number, since 2×48480414710400² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8594291580 + ... + 8594297220.

It is an arithmetic number, because the mean of its divisors is an integer number (189420702471).

Almost surely, 2^{48480414710400} is an apocalyptic number.

48480414710400 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 48480414710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90921937186080).

48480414710400 is an abundant number, since it is smaller than the sum of its proper divisors (133363459661760).

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

48480414710400 is a wasteful number, since it uses less digits than its factorization.

48480414710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6215 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 48480414710400 in words is "forty-eight trillion, four hundred eighty billion, four hundred fourteen million, seven hundred ten thousand, four hundred".