4905815420880 has 400 divisors, whose sum is σ = 18752112270144. Its totient is φ = 1178761973760.

The previous prime is 4905815420879. The next prime is 4905815420899. The reversal of 4905815420880 is 880245185094.

4905815420880 is a `hidden beast` number, since 4 + 9 + 0 + 581 + 54 + 2 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7750107 + ... + 8359173.

Almost surely, 2^{4905815420880} is an apocalyptic number.

4905815420880 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 4905815420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376056135072).

4905815420880 is an abundant number, since it is smaller than the sum of its proper divisors (13846296849264).

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

4905815420880 is a wasteful number, since it uses less digits than its factorization.

4905815420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609216 (or 609201 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 4905815420880 in words is "four trillion, nine hundred five billion, eight hundred fifteen million, four hundred twenty thousand, eight hundred eighty".