4090588632480 has 384 divisors, whose sum is σ = 15041852098560. Its totient is φ = 915085209600.

The previous prime is 4090588632437. The next prime is 4090588632509. The reversal of 4090588632480 is 842368850904.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4090588632480.

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, 44955030 + ... + 45045930.

It is an arithmetic number, because the mean of its divisors is an integer number (39171489840).

Almost surely, 2^{4090588632480} is an apocalyptic number.

4090588632480 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 4090588632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520926049280).

4090588632480 is an abundant number, since it is smaller than the sum of its proper divisors (10951263466080).

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

4090588632480 is a wasteful number, since it uses less digits than its factorization.

4090588632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91212 (or 91204 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 4090588632480 in words is "four trillion, ninety billion, five hundred eighty-eight million, six hundred thirty-two thousand, four hundred eighty".