4122640704 has 224 divisors, whose sum is σ = 14010071040. Its totient is φ = 1039915008.

The previous prime is 4122640703. The next prime is 4122640787. The reversal of 4122640704 is 4070462214.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122640703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396727 + ... + 406985.

It is an arithmetic number, because the mean of its divisors is an integer number (62544960).

Almost surely, 2^4122640704 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 4122640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005035520).

4122640704 is an abundant number, since it is smaller than the sum of its proper divisors (9887430336).

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

4122640704 is a wasteful number, since it uses less digits than its factorization.

4122640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10317 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4122640704 is about 64207.7931718573. The cubic root of 4122640704 is about 1603.4613481849.

The spelling of 4122640704 in words is "four billion, one hundred twenty-two million, six hundred forty thousand, seven hundred four".