4914074880 has 864 divisors, whose sum is σ = 21159815040. Its totient is φ = 1035141120.

The previous prime is 4914074863. The next prime is 4914074903. The reversal of 4914074880 is 884704194.

4914074880 is a `hidden beast` number, since 491 + 40 + 7 + 48 + 80 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 31299762 + ... + 31299918.

Almost surely, 2^4914074880 is an apocalyptic number.

4914074880 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 4914074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579907520).

4914074880 is an abundant number, since it is smaller than the sum of its proper divisors (16245740160).

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

4914074880 is a wasteful number, since it uses less digits than its factorization.

4914074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4914074880 is about 70100.4627659476. The cubic root of 4914074880 is about 1700.1239678917.

The spelling of 4914074880 in words is "four billion, nine hundred fourteen million, seventy-four thousand, eight hundred eighty".