4045690368 has 320 divisors, whose sum is σ = 12839059200. Its totient is φ = 1254113280.

The previous prime is 4045690333. The next prime is 4045690403. The reversal of 4045690368 is 8630965404.

It is an interprime number because it is at equal distance from previous prime (4045690333) and next prime (4045690403).

It is a super-2 number, since 2×4045690368² = 32735221107455950848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19173783 + ... + 19173993.

It is an arithmetic number, because the mean of its divisors is an integer number (40122060).

Almost surely, 2^4045690368 is an apocalyptic number.

4045690368 is a gapful number since it is divisible by the number (48) 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 4045690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419529600).

4045690368 is an abundant number, since it is smaller than the sum of its proper divisors (8793368832).

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

4045690368 is a wasteful number, since it uses less digits than its factorization.

4045690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4045690368 is about 63605.7416276235. The cubic root of 4045690368 is about 1593.4222620759.

The spelling of 4045690368 in words is "four billion, forty-five million, six hundred ninety thousand, three hundred sixty-eight".