4100202021400 has 192 divisors, whose sum is σ = 10449994550400. Its totient is φ = 1489207050240.

The previous prime is 4100202021397. The next prime is 4100202021403. The reversal of 4100202021400 is 41202020014.

It is an interprime number because it is at equal distance from previous prime (4100202021397) and next prime (4100202021403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100202021403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130826532 + ... + 130857868.

It is an arithmetic number, because the mean of its divisors is an integer number (54427054950).

Almost surely, 2^{4100202021400} is an apocalyptic number.

4100202021400 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 4100202021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224997275200).

4100202021400 is an abundant number, since it is smaller than the sum of its proper divisors (6349792529000).

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

4100202021400 is a wasteful number, since it uses less digits than its factorization.

4100202021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32726 (or 32717 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4100202021400 its reverse (41202020014), we get a palindrome (4141404041414).

The spelling of 4100202021400 in words is "four trillion, one hundred billion, two hundred two million, twenty-one thousand, four hundred".