4122616800 has 144 divisors (see below), whose sum is σ = 13882080240. Its totient is φ = 1061437440.

The previous prime is 4122616783. The next prime is 4122616811. The reversal of 4122616800 is 86162214.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39984 + ... + 99216.

It is an arithmetic number, because the mean of its divisors is an integer number (96403335).

Almost surely, 2^4122616800 is an apocalyptic number.

4122616800 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 4122616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941040120).

4122616800 is an abundant number, since it is smaller than the sum of its proper divisors (9759463440).

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

4122616800 is a wasteful number, since it uses less digits than its factorization.

4122616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59285 (or 59272 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4122616800 is about 64207.6070259592. The cubic root of 4122616800 is about 1603.4582491021.

The spelling of 4122616800 in words is "four billion, one hundred twenty-two million, six hundred sixteen thousand, eight hundred".