4138240964 has 192 divisors, whose sum is σ = 9429073920. Its totient is φ = 1560384000.

The previous prime is 4138240957. The next prime is 4138240979. The reversal of 4138240964 is 4690428314.

4138240964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4138240964² = 34250076552255298592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23920382 + ... + 23920554.

It is an arithmetic number, because the mean of its divisors is an integer number (49109760).

Almost surely, 2^4138240964 is an apocalyptic number.

4138240964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4138240964 is an abundant number, since it is smaller than the sum of its proper divisors (5290832956).

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

4138240964 is a wasteful number, since it uses less digits than its factorization.

4138240964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 4138240964 is about 64329.1610702331. The cubic root of 4138240964 is about 1605.4813259932.

The spelling of 4138240964 in words is "four billion, one hundred thirty-eight million, two hundred forty thousand, nine hundred sixty-four".