4920015456 has 144 divisors (see below), whose sum is σ = 14642409600. Its totient is φ = 1565153280.

The previous prime is 4920015437. The next prime is 4920015461. The reversal of 4920015456 is 6545100294.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4920015456.

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 23 ways as a sum of consecutive naturals, for example, 647970 + ... + 655518.

It is an arithmetic number, because the mean of its divisors is an integer number (101683400).

Almost surely, 2^4920015456 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 4920015456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321204800).

4920015456 is an abundant number, since it is smaller than the sum of its proper divisors (9722394144).

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

4920015456 is a wasteful number, since it uses less digits than its factorization.

4920015456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4920015456 is about 70142.8218422955. The cubic root of 4920015456 is about 1700.8087796351.

The spelling of 4920015456 in words is "four billion, nine hundred twenty million, fifteen thousand, four hundred fifty-six".