4075939840 has 192 divisors, whose sum is σ = 11307703680. Its totient is φ = 1381171200.

The previous prime is 4075939837. The next prime is 4075939843. The reversal of 4075939840 is 489395704.

It is an interprime number because it is at equal distance from previous prime (4075939837) and next prime (4075939843).

It is a super-2 number, since 2×4075939840² = 33226571158598451200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4075939843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7239399 + ... + 7239961.

It is an arithmetic number, because the mean of its divisors is an integer number (58894290).

Almost surely, 2^4075939840 is an apocalyptic number.

4075939840 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 4075939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653851840).

4075939840 is an abundant number, since it is smaller than the sum of its proper divisors (7231763840).

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

4075939840 is a wasteful number, since it uses less digits than its factorization.

4075939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 4075939840 is about 63843.0876446307. The cubic root of 4075939840 is about 1597.3837242701.

The spelling of 4075939840 in words is "four billion, seventy-five million, nine hundred thirty-nine thousand, eight hundred forty".