4112947140000 has 480 divisors, whose sum is σ = 13780917944640. Its totient is φ = 1073488896000.

The previous prime is 4112947139929. The next prime is 4112947140019. The reversal of 4112947140000 is 417492114.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 542816212 + ... + 542823788.

It is an arithmetic number, because the mean of its divisors is an integer number (28710245718).

Almost surely, 2^{4112947140000} is an apocalyptic number.

4112947140000 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 4112947140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890458972320).

4112947140000 is an abundant number, since it is smaller than the sum of its proper divisors (9667970804640).

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

4112947140000 is a wasteful number, since it uses less digits than its factorization.

4112947140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 4112947140000 in words is "four trillion, one hundred twelve billion, nine hundred forty-seven million, one hundred forty thousand".