4155144600 has 96 divisors (see below), whose sum is σ = 12952452240. Its totient is φ = 1101888000.

The previous prime is 4155144577. The next prime is 4155144601. The reversal of 4155144600 is 64415514.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4155144601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89470 + ... + 127730.

Almost surely, 2^4155144600 is an apocalyptic number.

4155144600 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 4155144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476226120).

4155144600 is an abundant number, since it is smaller than the sum of its proper divisors (8797307640).

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

4155144600 is a wasteful number, since it uses less digits than its factorization.

4155144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38461 (or 38452 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4155144600 is about 64460.4111063527. The cubic root of 4155144600 is about 1607.6643472821.

The spelling of 4155144600 in words is "four billion, one hundred fifty-five million, one hundred forty-four thousand, six hundred".