4020290560 has 528 divisors, whose sum is σ = 12669128640. Its totient is φ = 1203240960.

The previous prime is 4020290551. The next prime is 4020290569. The reversal of 4020290560 is 650920204.

It is an interprime number because it is at equal distance from previous prime (4020290551) and next prime (4020290569).

It is a super-2 number, since 2×4020290560² = 32325472373650227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020290569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211594231 + ... + 211594249.

Almost surely, 2^4020290560 is an apocalyptic number.

4020290560 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 4020290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334564320).

4020290560 is an abundant number, since it is smaller than the sum of its proper divisors (8648838080).

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

4020290560 is a wasteful number, since it uses less digits than its factorization.

4020290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4020290560 is about 63405.7612524288. The cubic root of 4020290560 is about 1590.0806309070.

The spelling of 4020290560 in words is "four billion, twenty million, two hundred ninety thousand, five hundred sixty".