4058816788480 has 192 divisors, whose sum is σ = 10028068596000. Its totient is φ = 1575529611264.

The previous prime is 4058816788469. The next prime is 4058816788577. The reversal of 4058816788480 is 848876188504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147370551 + ... + 147398089.

Almost surely, 2^{4058816788480} is an apocalyptic number.

4058816788480 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 4058816788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014034298000).

4058816788480 is an abundant number, since it is smaller than the sum of its proper divisors (5969251807520).

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

4058816788480 is a wasteful number, since it uses less digits than its factorization.

4058816788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27992 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 67.

The spelling of 4058816788480 in words is "four trillion, fifty-eight billion, eight hundred sixteen million, seven hundred eighty-eight thousand, four hundred eighty".