4122074880 has 576 divisors, whose sum is σ = 18248832000. Its totient is φ = 855982080.

The previous prime is 4122074863. The next prime is 4122074921. The reversal of 4122074880 is 884702214.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2660346 + ... + 2661894.

It is an arithmetic number, because the mean of its divisors is an integer number (31682000).

Almost surely, 2^4122074880 is an apocalyptic number.

4122074880 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 4122074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124416000).

4122074880 is an abundant number, since it is smaller than the sum of its proper divisors (14126757120).

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

4122074880 is a wasteful number, since it uses less digits than its factorization.

4122074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4122074880 is about 64203.3868265530. The cubic root of 4122074880 is about 1603.3879875657.

The spelling of 4122074880 in words is "four billion, one hundred twenty-two million, seventy-four thousand, eight hundred eighty".