4152554400 has 288 divisors, whose sum is σ = 14049600768. Its totient is φ = 1064448000.

The previous prime is 4152554359. The next prime is 4152554429. The reversal of 4152554400 is 44552514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8968569 + ... + 8969031.

It is an arithmetic number, because the mean of its divisors is an integer number (48783336).

Almost surely, 2^4152554400 is an apocalyptic number.

4152554400 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 4152554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024800384).

4152554400 is an abundant number, since it is smaller than the sum of its proper divisors (9897046368).

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

4152554400 is a wasteful number, since it uses less digits than its factorization.

4152554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 4152554400 is about 64440.3165727792. The cubic root of 4152554400 is about 1607.3302203007.

The spelling of 4152554400 in words is "four billion, one hundred fifty-two million, five hundred fifty-four thousand, four hundred".