4076921092608 has 1120 divisors, whose sum is σ = 15553760745600. Its totient is φ = 1037904150528.

The previous prime is 4076921092603. The next prime is 4076921092639. The reversal of 4076921092608 is 8062901296704.

4076921092608 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 9 + 21 + 0 + 9 + 2 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4076921092603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 984999403 + ... + 985003541.

It is an arithmetic number, because the mean of its divisors is an integer number (13887286380).

Almost surely, 2^{4076921092608} is an apocalyptic number.

4076921092608 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 4076921092608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776880372800).

4076921092608 is an abundant number, since it is smaller than the sum of its proper divisors (11476839652992).

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

4076921092608 is an equidigital number, since it uses as much as digits as its factorization.

4076921092608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4076921092608 in words is "four trillion, seventy-six billion, nine hundred twenty-one million, ninety-two thousand, six hundred eight".