4151642800 has 60 divisors (see below), whose sum is σ = 10067643576. Its totient is φ = 1645120000.

The previous prime is 4151642797. The next prime is 4151642801. The reversal of 4151642800 is 82461514.

It is a super-2 number, since 2×4151642800² = 34472275877583680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4151642801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5701 + ... + 91300.

Almost surely, 2^4151642800 is an apocalyptic number.

4151642800 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 4151642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033821788).

4151642800 is an abundant number, since it is smaller than the sum of its proper divisors (5916000776).

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

4151642800 is a wasteful number, since it uses less digits than its factorization.

4151642800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97126 (or 97115 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 4151642800 is about 64433.2429728630. The cubic root of 4151642800 is about 1607.2125939498.

The spelling of 4151642800 in words is "four billion, one hundred fifty-one million, six hundred forty-two thousand, eight hundred".