2401141204200 has 192 divisors, whose sum is σ = 7550735829120. Its totient is φ = 631088640000.

The previous prime is 2401141204159. The next prime is 2401141204213. The reversal of 2401141204200 is 24021411042.

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, 178955892 + ... + 178969308.

It is an arithmetic number, because the mean of its divisors is an integer number (39326749110).

Almost surely, 2^{2401141204200} is an apocalyptic number.

2401141204200 is a gapful number since it is divisible by the number (20) 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 2401141204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775367914560).

2401141204200 is an abundant number, since it is smaller than the sum of its proper divisors (5149594624920).

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

2401141204200 is a wasteful number, since it uses less digits than its factorization.

2401141204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17708 (or 17699 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2401141204200 its reverse (24021411042), we get a palindrome (2425162615242).

The spelling of 2401141204200 in words is "two trillion, four hundred one billion, one hundred forty-one million, two hundred four thousand, two hundred".