4120036800 has 168 divisors, whose sum is σ = 14746175232. Its totient is φ = 998784000.

The previous prime is 4120036769. The next prime is 4120036801. The reversal of 4120036800 is 86300214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120036801) 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, 13785 + ... + 91815.

Almost surely, 2^4120036800 is an apocalyptic number.

4120036800 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 4120036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373087616).

4120036800 is an abundant number, since it is smaller than the sum of its proper divisors (10626138432).

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

4120036800 is a wasteful number, since it uses less digits than its factorization.

4120036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78067 (or 78052 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4120036800 is about 64187.5128042830. The cubic root of 4120036800 is about 1603.1236893012.

The spelling of 4120036800 in words is "four billion, one hundred twenty million, thirty-six thousand, eight hundred".