4149852960 has 192 divisors, whose sum is σ = 14316269184. Its totient is φ = 1002086400.

The previous prime is 4149852907. The next prime is 4149852979. The reversal of 4149852960 is 692589414.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482282 + ... + 1485078.

It is an arithmetic number, because the mean of its divisors is an integer number (74563902).

Almost surely, 2^4149852960 is an apocalyptic number.

4149852960 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 4149852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158134592).

4149852960 is an abundant number, since it is smaller than the sum of its proper divisors (10166416224).

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

4149852960 is a wasteful number, since it uses less digits than its factorization.

4149852960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 4149852960 is about 64419.3523717834. The cubic root of 4149852960 is about 1606.9815956826.

The spelling of 4149852960 in words is "four billion, one hundred forty-nine million, eight hundred fifty-two thousand, nine hundred sixty".