4132252800 has 576 divisors, whose sum is σ = 16433546400. Its totient is φ = 1013575680.

The previous prime is 4132252799. The next prime is 4132252807. The reversal of 4132252800 is 82522314.

4132252800 is a `hidden beast` number, since 4 + 132 + 2 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (4132252807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14601459 + ... + 14601741.

Almost surely, 2^4132252800 is an apocalyptic number.

4132252800 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 4132252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216773200).

4132252800 is an abundant number, since it is smaller than the sum of its proper divisors (12301293600).

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

4132252800 is a wasteful number, since it uses less digits than its factorization.

4132252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4132252800 is about 64282.6010674739. The cubic root of 4132252800 is about 1604.7065582846.

It can be divided in two parts, 413225 and 2800, that added together give a square (416025 = 645²).

The spelling of 4132252800 in words is "four billion, one hundred thirty-two million, two hundred fifty-two thousand, eight hundred".