4121409264 has 80 divisors (see below), whose sum is σ = 12196124160. Its totient is φ = 1174821120.

The previous prime is 4121409157. The next prime is 4121409283. The reversal of 4121409264 is 4629041214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133534 + ... + 161474.

It is an arithmetic number, because the mean of its divisors is an integer number (152451552).

Almost surely, 2^4121409264 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 4121409264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098062080).

4121409264 is an abundant number, since it is smaller than the sum of its proper divisors (8074714896).

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

4121409264 is a wasteful number, since it uses less digits than its factorization.

4121409264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28398 (or 28392 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4121409264 is about 64198.2029655036. The cubic root of 4121409264 is about 1603.3016800483.

The spelling of 4121409264 in words is "four billion, one hundred twenty-one million, four hundred nine thousand, two hundred sixty-four".