3201402414210 has 256 divisors, whose sum is σ = 10342151221248. Its totient is φ = 612506188800.

The previous prime is 3201402414187. The next prime is 3201402414277. The reversal of 3201402414210 is 124142041023.

It is a super-3 number, since 3×3201402414210³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11787645 + ... + 12056175.

It is an arithmetic number, because the mean of its divisors is an integer number (40399028208).

Almost surely, 2^{3201402414210} is an apocalyptic number.

3201402414210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201402414210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171075610624).

3201402414210 is an abundant number, since it is smaller than the sum of its proper divisors (7140748807038).

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

3201402414210 is a wasteful number, since it uses less digits than its factorization.

3201402414210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268969.

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

Adding to 3201402414210 its reverse (124142041023), we get a palindrome (3325544455233).

The spelling of 3201402414210 in words is "three trillion, two hundred one billion, four hundred two million, four hundred fourteen thousand, two hundred ten".