4111974720 has 560 divisors, whose sum is σ = 16941564288. Its totient is φ = 927313920.

The previous prime is 4111974703. The next prime is 4111974731. The reversal of 4111974720 is 274791114.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 23768554 + ... + 23768726.

Almost surely, 2^4111974720 is an apocalyptic number.

4111974720 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 4111974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470782144).

4111974720 is an abundant number, since it is smaller than the sum of its proper divisors (12829589568).

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

4111974720 is a wasteful number, since it uses less digits than its factorization.

4111974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 4111974720 is about 64124.6810518384. The cubic root of 4111974720 is about 1602.0773434022.

The spelling of 4111974720 in words is "four billion, one hundred eleven million, nine hundred seventy-four thousand, seven hundred twenty".