4112215144000 has 224 divisors, whose sum is σ = 10739362458240. Its totient is φ = 1555483392000.

The previous prime is 4112215143991. The next prime is 4112215144013. The reversal of 4112215144000 is 4415122114.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84639715 + ... + 84688285.

Almost surely, 2^{4112215144000} is an apocalyptic number.

4112215144000 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 4112215144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369681229120).

4112215144000 is an abundant number, since it is smaller than the sum of its proper divisors (6627147314240).

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

4112215144000 is a wasteful number, since it uses less digits than its factorization.

4112215144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49174 (or 49154 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The spelling of 4112215144000 in words is "four trillion, one hundred twelve billion, two hundred fifteen million, one hundred forty-four thousand".