11234414004210 has 192 divisors, whose sum is σ = 30820063248000. Its totient is φ = 2831413294080.

The previous prime is 11234414004199. The next prime is 11234414004257. The reversal of 11234414004210 is 1240041443211.

11234414004210 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 4 + 41 + 400 + 4 + 210 = 666.

It is a super-3 number, since 3×11234414004210³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2345876496 + ... + 2345881284.

It is an arithmetic number, because the mean of its divisors is an integer number (160521162750).

Almost surely, 2^{11234414004210} is an apocalyptic number.

11234414004210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11234414004210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410031624000).

11234414004210 is an abundant number, since it is smaller than the sum of its proper divisors (19585649243790).

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

11234414004210 is a wasteful number, since it uses less digits than its factorization.

11234414004210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11234414004210 its reverse (1240041443211), we get a palindrome (12474455447421).

The spelling of 11234414004210 in words is "eleven trillion, two hundred thirty-four billion, four hundred fourteen million, four thousand, two hundred ten".