4001921795328 has 144 divisors (see below), whose sum is σ = 11280313390080. Its totient is φ = 1256010872832.

The previous prime is 4001921795317. The next prime is 4001921795329. The reversal of 4001921795328 is 8235971291004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001921795329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537225 + ... + 3219767.

Almost surely, 2^{4001921795328} is an apocalyptic number.

4001921795328 is a gapful number since it is divisible by the number (48) 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 4001921795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640156695040).

4001921795328 is an abundant number, since it is smaller than the sum of its proper divisors (7278391594752).

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

4001921795328 is a wasteful number, since it uses less digits than its factorization.

4001921795328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682744 (or 1682730 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 4001921795328 in words is "four trillion, one billion, nine hundred twenty-one million, seven hundred ninety-five thousand, three hundred twenty-eight".