4201140431400 has 192 divisors, whose sum is σ = 14211795297600. Its totient is φ = 1018149888000.

The previous prime is 4201140431381. The next prime is 4201140431401. The reversal of 4201140431400 is 41340411024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4201140431401) 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, 22087906 + ... + 22277294.

It is an arithmetic number, because the mean of its divisors is an integer number (74019767175).

Almost surely, 2^{4201140431400} is an apocalyptic number.

4201140431400 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 4201140431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105897648800).

4201140431400 is an abundant number, since it is smaller than the sum of its proper divisors (10010654866200).

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

4201140431400 is a wasteful number, since it uses less digits than its factorization.

4201140431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192780 (or 192771 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4201140431400 its reverse (41340411024), we get a palindrome (4242480842424).

The spelling of 4201140431400 in words is "four trillion, two hundred one billion, one hundred forty million, four hundred thirty-one thousand, four hundred".