4115569920 has 576 divisors, whose sum is σ = 16953753600. Its totient is φ = 825753600.

The previous prime is 4115569919. The next prime is 4115569921. The reversal of 4115569920 is 299655114.

It is an interprime number because it is at equal distance from previous prime (4115569919) and next prime (4115569921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115569921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9165856 + ... + 9166304.

It is an arithmetic number, because the mean of its divisors is an integer number (29433600).

Almost surely, 2^4115569920 is an apocalyptic number.

4115569920 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 4115569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476876800).

4115569920 is an abundant number, since it is smaller than the sum of its proper divisors (12838183680).

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

4115569920 is a wasteful number, since it uses less digits than its factorization.

4115569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 4115569920 is about 64152.7078150252. The cubic root of 4115569920 is about 1602.5441191835.

The spelling of 4115569920 in words is "four billion, one hundred fifteen million, five hundred sixty-nine thousand, nine hundred twenty".