4112465642280 has 96 divisors (see below), whose sum is σ = 14068961431200. Its totient is φ = 1038938686848.

The previous prime is 4112465642269. The next prime is 4112465642287. The reversal of 4112465642280 is 822465642114.

4112465642280 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 4 + 6 + 564 + 2 + 2 + 80 = 666.

It is a super-4 number, since 4×4112465642280⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4112465642287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300611994 + ... + 300625673.

It is an arithmetic number, because the mean of its divisors is an integer number (146551681575).

Almost surely, 2^{4112465642280} is an apocalyptic number.

4112465642280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4112465642280 is an abundant number, since it is smaller than the sum of its proper divisors (9956495788920).

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

4112465642280 is a wasteful number, since it uses less digits than its factorization.

4112465642280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601237703 (or 601237696 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4112465642280 in words is "four trillion, one hundred twelve billion, four hundred sixty-five million, six hundred forty-two thousand, two hundred eighty".