4714090477824 has 1728 divisors, whose sum is σ = 17266910621184. Its totient is φ = 1112983732224.

The previous prime is 4714090477823. The next prime is 4714090477919. The reversal of 4714090477824 is 4287740904174.

It is a super-2 number, since 2×4714090477824² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4714090477823) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41717614792 + ... + 41717614904.

It is an arithmetic number, because the mean of its divisors is an integer number (9992425128).

Almost surely, 2^{4714090477824} 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 4714090477824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633455310592).

4714090477824 is an abundant number, since it is smaller than the sum of its proper divisors (12552820143360).

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

4714090477824 is a wasteful number, since it uses less digits than its factorization.

4714090477824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 4714090477824 in words is "four trillion, seven hundred fourteen billion, ninety million, four hundred seventy-seven thousand, eight hundred twenty-four".