4122396720 has 480 divisors, whose sum is σ = 16076828160. Its totient is φ = 968647680.

The previous prime is 4122396667. The next prime is 4122396749. The reversal of 4122396720 is 276932214.

4122396720 is a `hidden beast` number, since 412 + 239 + 6 + 7 + 2 + 0 = 666.

4122396720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8395675 + ... + 8396165.

It is an arithmetic number, because the mean of its divisors is an integer number (33493392).

Almost surely, 2^4122396720 is an apocalyptic number.

4122396720 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 4122396720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038414080).

4122396720 is an abundant number, since it is smaller than the sum of its proper divisors (11954431440).

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

4122396720 is a wasteful number, since it uses less digits than its factorization.

4122396720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4122396720 is about 64205.8931874637. The cubic root of 4122396720 is about 1603.4297158195.

The spelling of 4122396720 in words is "four billion, one hundred twenty-two million, three hundred ninety-six thousand, seven hundred twenty".