4201364294880 has 384 divisors, whose sum is σ = 13944810700800. Its totient is φ = 1061853235200.

The previous prime is 4201364294861. The next prime is 4201364294923. The reversal of 4201364294880 is 884924631024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237907491 + ... + 237925149.

It is an arithmetic number, because the mean of its divisors is an integer number (36314611200).

Almost surely, 2^{4201364294880} is an apocalyptic number.

4201364294880 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 4201364294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972405350400).

4201364294880 is an abundant number, since it is smaller than the sum of its proper divisors (9743446405920).

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

4201364294880 is a wasteful number, since it uses less digits than its factorization.

4201364294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18038 (or 18030 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 4201364294880 in words is "four trillion, two hundred one billion, three hundred sixty-four million, two hundred ninety-four thousand, eight hundred eighty".