4019114080000 has 540 divisors, whose sum is σ = 10674167704200. Its totient is φ = 1509571584000.

The previous prime is 4019114079997. The next prime is 4019114080027. The reversal of 4019114080000 is 804119104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8606239767 + ... + 8606240233.

It is an arithmetic number, because the mean of its divisors is an integer number (19766977230).

Almost surely, 2^{4019114080000} is an apocalyptic number.

4019114080000 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 4019114080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337083852100).

4019114080000 is an abundant number, since it is smaller than the sum of its proper divisors (6655053624200).

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

4019114080000 is an equidigital number, since it uses as much as digits as its factorization.

4019114080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 4019114080000 its reverse (804119104), we get a palindrome (4019918199104).

The spelling of 4019114080000 in words is "four trillion, nineteen billion, one hundred fourteen million, eighty thousand".