4063096268000 has 1728 divisors, whose sum is σ = 13732958453760. Its totient is φ = 1173553920000.

The previous prime is 4063096267973. The next prime is 4063096268003. The reversal of 4063096268000 is 8626903604.

It is a hoax number, since the sum of its digits (44) 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 (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4063096268003) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31992883937 + ... + 31992884063.

It is an arithmetic number, because the mean of its divisors is an integer number (7947313920).

Almost surely, 2^{4063096268000} is an apocalyptic number.

4063096268000 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 4063096268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866479226880).

4063096268000 is an abundant number, since it is smaller than the sum of its proper divisors (9669862185760).

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

4063096268000 is a wasteful number, since it uses less digits than its factorization.

4063096268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 4063096268000 in words is "four trillion, sixty-three billion, ninety-six million, two hundred sixty-eight thousand".