3401312124210 has 1024 divisors, whose sum is σ = 11805634068480. Its totient is φ = 603855544320.

The previous prime is 3401312124173. The next prime is 3401312124227. The reversal of 3401312124210 is 124212131043.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5289754149 + ... + 5289754791.

It is an arithmetic number, because the mean of its divisors is an integer number (11528939520).

Almost surely, 2^{3401312124210} is an apocalyptic number.

3401312124210 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 3401312124210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902817034240).

3401312124210 is an abundant number, since it is smaller than the sum of its proper divisors (8404321944270).

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

3401312124210 is a wasteful number, since it uses less digits than its factorization.

3401312124210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3401312124210 its reverse (124212131043), we get a palindrome (3525524255253).

The spelling of 3401312124210 in words is "three trillion, four hundred one billion, three hundred twelve million, one hundred twenty-four thousand, two hundred ten".