4131122201400 has 192 divisors, whose sum is σ = 12837404112480. Its totient is φ = 1098974822400.

The previous prime is 4131122201383. The next prime is 4131122201429. The reversal of 4131122201400 is 41022211314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018268172 + ... + 1018272228.

Almost surely, 2^{4131122201400} is an apocalyptic number.

4131122201400 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 4131122201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418702056240).

4131122201400 is an abundant number, since it is smaller than the sum of its proper divisors (8706281911080).

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

4131122201400 is a wasteful number, since it uses less digits than its factorization.

4131122201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7754 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 4131122201400 its reverse (41022211314), we get a palindrome (4172144412714).

The spelling of 4131122201400 in words is "four trillion, one hundred thirty-one billion, one hundred twenty-two million, two hundred one thousand, four hundred".