4029881520 has 480 divisors, whose sum is σ = 15535577088. Its totient is φ = 859600896.

The previous prime is 4029881519. The next prime is 4029881521. The reversal of 4029881520 is 251889204.

It is an interprime number because it is at equal distance from previous prime (4029881519) and next prime (4029881521).

It is not an unprimeable number, because it can be changed into a prime (4029881521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12712402 + ... + 12712718.

Almost surely, 2^4029881520 is an apocalyptic number.

4029881520 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 4029881520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767788544).

4029881520 is an abundant number, since it is smaller than the sum of its proper divisors (11505695568).

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

4029881520 is a wasteful number, since it uses less digits than its factorization.

4029881520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 4029881520 is about 63481.3478117785. The cubic root of 4029881520 is about 1591.3440792602.

The spelling of 4029881520 in words is "four billion, twenty-nine million, eight hundred eighty-one thousand, five hundred twenty".