4152940800 has 216 divisors, whose sum is σ = 13898006304. Its totient is φ = 1091911680.

The previous prime is 4152940777. The next prime is 4152940807. The reversal of 4152940800 is 80492514.

It is not an unprimeable number, because it can be changed into a prime (4152940807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400119 + ... + 1403081.

Almost surely, 2^4152940800 is an apocalyptic number.

4152940800 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 4152940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949003152).

4152940800 is an abundant number, since it is smaller than the sum of its proper divisors (9745065504).

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

4152940800 is a wasteful number, since it uses less digits than its factorization.

4152940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 4152940800 is about 64443.3146261115. The cubic root of 4152940800 is about 1607.3800734011.

The spelling of 4152940800 in words is "four billion, one hundred fifty-two million, nine hundred forty thousand, eight hundred".