4152004640 has 192 divisors, whose sum is σ = 12004070400. Its totient is φ = 1325362176.

The previous prime is 4152004603. The next prime is 4152004663. The reversal of 4152004640 is 464002514.

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, 1253867 + ... + 1257173.

It is an arithmetic number, because the mean of its divisors is an integer number (62521200).

Almost surely, 2^4152004640 is an apocalyptic number.

4152004640 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 4152004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002035200).

4152004640 is an abundant number, since it is smaller than the sum of its proper divisors (7852065760).

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

4152004640 is a wasteful number, since it uses less digits than its factorization.

4152004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4152004640 is about 64436.0507790476. The cubic root of 4152004640 is about 1607.2592852589.

The spelling of 4152004640 in words is "four billion, one hundred fifty-two million, four thousand, six hundred forty".