4933186440320 has 64 divisors (see below), whose sum is σ = 12015915875640. Its totient is φ = 1936042967040.

The previous prime is 4933186440307. The next prime is 4933186440383. The reversal of 4933186440320 is 230446813394.

It can be written as a sum of positive squares in 4 ways, for example, as 4931988172864 + 1198267456 = 2220808^2 + 34616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4933186440320² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72684041 + ... + 72751880.

Almost surely, 2^{4933186440320} is an apocalyptic number.

4933186440320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4933186440320 is an abundant number, since it is smaller than the sum of its proper divisors (7082729435320).

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

4933186440320 is a wasteful number, since it uses less digits than its factorization.

4933186440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145435993 (or 145435981 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 4933186440320 in words is "four trillion, nine hundred thirty-three billion, one hundred eighty-six million, four hundred forty thousand, three hundred twenty".