4092458938880 has 480 divisors, whose sum is σ = 11188873335024. Its totient is φ = 1426194432000.

The previous prime is 4092458938873. The next prime is 4092458938907. The reversal of 4092458938880 is 888398542904.

It can be written as a sum of positive squares in 8 ways, for example, as 83045406976 + 4009413531904 = 288176^2 + 2002352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4092458938880.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1311263720 + ... + 1311266840.

Almost surely, 2^{4092458938880} is an apocalyptic number.

4092458938880 is a gapful number since it is divisible by the number (40) 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 4092458938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594436667512).

4092458938880 is an abundant number, since it is smaller than the sum of its proper divisors (7096414396144).

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

4092458938880 is a wasteful number, since it uses less digits than its factorization.

4092458938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 68.

The spelling of 4092458938880 in words is "four trillion, ninety-two billion, four hundred fifty-eight million, nine hundred thirty-eight thousand, eight hundred eighty".