4002413150208 has 576 divisors, whose sum is σ = 12135417356160. Its totient is φ = 1162661068800.

The previous prime is 4002413150201. The next prime is 4002413150213. The reversal of 4002413150208 is 8020513142004.

It is a super-2 number, since 2×4002413150208² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4002413150201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14243463028 + ... + 14243463308.

It is an arithmetic number, because the mean of its divisors is an integer number (21068432910).

Almost surely, 2^{4002413150208} is an apocalyptic number.

4002413150208 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 4002413150208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067708678080).

4002413150208 is an abundant number, since it is smaller than the sum of its proper divisors (8133004205952).

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

4002413150208 is an equidigital number, since it uses as much as digits as its factorization.

4002413150208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 4002413150208 in words is "four trillion, two billion, four hundred thirteen million, one hundred fifty thousand, two hundred eight".