4100300022000 has 1280 divisors, whose sum is σ = 17341098098688. Its totient is φ = 809781350400.

The previous prime is 4100300021903. The next prime is 4100300022041. The reversal of 4100300022000 is 2200030014.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 590222527 + ... + 590229473.

Almost surely, 2^{4100300022000} is an apocalyptic number.

4100300022000 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 4100300022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8670549049344).

4100300022000 is an abundant number, since it is smaller than the sum of its proper divisors (13240798076688).

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

4100300022000 is a wasteful number, since it uses less digits than its factorization.

4100300022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 4100300022000 its reverse (2200030014), we get a palindrome (4102500052014).

The spelling of 4100300022000 in words is "four trillion, one hundred billion, three hundred million, twenty-two thousand".