4006298880 has 360 divisors, whose sum is σ = 15185198952. Its totient is φ = 1005060096.

The previous prime is 4006298851. The next prime is 4006298909. The reversal of 4006298880 is 888926004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4006298851) and next prime (4006298909).

It can be written as a sum of positive squares in 4 ways, for example, as 1637335296 + 2368963584 = 40464^2 + 48672^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1761424 + ... + 1763696.

Almost surely, 2^4006298880 is an apocalyptic number.

4006298880 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 4006298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592599476).

4006298880 is an abundant number, since it is smaller than the sum of its proper divisors (11178900072).

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

4006298880 is a wasteful number, since it uses less digits than its factorization.

4006298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4006298880 is about 63295.3306334677. The cubic root of 4006298880 is about 1588.2338523734.

The spelling of 4006298880 in words is "four billion, six million, two hundred ninety-eight thousand, eight hundred eighty".