4021167795456 has 1152 divisors, whose sum is σ = 13600677888000. Its totient is φ = 1030045040640.

The previous prime is 4021167795439. The next prime is 4021167795497. The reversal of 4021167795456 is 6545977611204.

It is a junction number, because it is equal to n+sod(n) for n = 4021167795396 and 4021167795405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20206873245 + ... + 20206873443.

It is an arithmetic number, because the mean of its divisors is an integer number (11806144000).

Almost surely, 2^{4021167795456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021167795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800338944000).

4021167795456 is an abundant number, since it is smaller than the sum of its proper divisors (9579510092544).

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

4021167795456 is a wasteful number, since it uses less digits than its factorization.

4021167795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 4021167795456 in words is "four trillion, twenty-one billion, one hundred sixty-seven million, seven hundred ninety-five thousand, four hundred fifty-six".