4714626933408 has 288 divisors, whose sum is σ = 14566116418560. Its totient is φ = 1331254310400.

The previous prime is 4714626933383. The next prime is 4714626933439. The reversal of 4714626933408 is 8043396264174.

It is a super-2 number, since 2×4714626933408² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137231433 + ... + 137265783.

It is an arithmetic number, because the mean of its divisors is an integer number (50576793120).

Almost surely, 2^{4714626933408} is an apocalyptic number.

4714626933408 is a gapful number since it is divisible by the number (48) 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 4714626933408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283058209280).

4714626933408 is an abundant number, since it is smaller than the sum of its proper divisors (9851489485152).

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

4714626933408 is a wasteful number, since it uses less digits than its factorization.

4714626933408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34720 (or 34705 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 4714626933408 in words is "four trillion, seven hundred fourteen billion, six hundred twenty-six million, nine hundred thirty-three thousand, four hundred eight".