4122402072 has 128 divisors (see below), whose sum is σ = 10983168000. Its totient is φ = 1287244800.

The previous prime is 4122402061. The next prime is 4122402073. The reversal of 4122402072 is 2702042214.

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 (4122402073) 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 31 ways as a sum of consecutive naturals, for example, 4544643 + ... + 4545549.

It is an arithmetic number, because the mean of its divisors is an integer number (85806000).

Almost surely, 2^4122402072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122402072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491584000).

4122402072 is an abundant number, since it is smaller than the sum of its proper divisors (6860765928).

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

4122402072 is a wasteful number, since it uses less digits than its factorization.

4122402072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 4122402072 is about 64205.9348658673. The cubic root of 4122402072 is about 1603.4304097161.

Adding to 4122402072 its reverse (2702042214), we get a palindrome (6824444286).

The spelling of 4122402072 in words is "four billion, one hundred twenty-two million, four hundred two thousand, seventy-two".