4112192888640 has 392 divisors, whose sum is σ = 14832960341640. Its totient is φ = 1085273800704.

The previous prime is 4112192888603. The next prime is 4112192888647. The reversal of 4112192888640 is 468882912114.

4112192888640 is a `hidden beast` number, since 411 + 2 + 1 + 92 + 8 + 88 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1004052096576 + 3108140792064 = 1002024^2 + 1762992^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112192888647) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22537296 + ... + 22719024.

It is an arithmetic number, because the mean of its divisors is an integer number (37839184545).

Almost surely, 2^{4112192888640} is an apocalyptic number.

4112192888640 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 4112192888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416480170820).

4112192888640 is an abundant number, since it is smaller than the sum of its proper divisors (10720767453000).

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

4112192888640 is an equidigital number, since it uses as much as digits as its factorization.

4112192888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181861 (or 181836 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 4112192888640 in words is "four trillion, one hundred twelve billion, one hundred ninety-two million, eight hundred eighty-eight thousand, six hundred forty".