4112640000 has 960 divisors, whose sum is σ = 18421603200. Its totient is φ = 884736000.

The previous prime is 4112639981. The next prime is 4112640001. The reversal of 4112640000 is 462114.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4112640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241919992 + ... + 241920008.

It is an arithmetic number, because the mean of its divisors is an integer number (19189170).

Almost surely, 2^4112640000 is an apocalyptic number.

4112640000 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 4112640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210801600).

4112640000 is an abundant number, since it is smaller than the sum of its proper divisors (14308963200).

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

4112640000 is an equidigital number, since it uses as much as digits as its factorization.

4112640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4112640000 is about 64129.8682362595. The cubic root of 4112640000 is about 1602.1637392429.

The spelling of 4112640000 in words is "four billion, one hundred twelve million, six hundred forty thousand".