5063151421440 has 1152 divisors, whose sum is σ = 21893639040000. Its totient is φ = 1096309997568.

The previous prime is 5063151421409. The next prime is 5063151421529. The reversal of 5063151421440 is 441241513605.

5063151421440 is a `hidden beast` number, since 5 + 0 + 63 + 15 + 142 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 5063151421395 and 5063151421404.

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, 330938911 + ... + 330954209.

It is an arithmetic number, because the mean of its divisors is an integer number (19004895000).

Almost surely, 2^{5063151421440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5063151421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946819520000).

5063151421440 is an abundant number, since it is smaller than the sum of its proper divisors (16830487618560).

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

5063151421440 is a wasteful number, since it uses less digits than its factorization.

5063151421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15367 (or 15335 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5063151421440 in words is "five trillion, sixty-three billion, one hundred fifty-one million, four hundred twenty-one thousand, four hundred forty".