11214101340 has 576 divisors, whose sum is σ = 42037107840. Its totient is φ = 2388787200.

The previous prime is 11214101299. The next prime is 11214101387. The reversal of 11214101340 is 4310141211.

11214101340 is a `hidden beast` number, since 1 + 121 + 410 + 134 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27965140 + ... + 27965540.

It is an arithmetic number, because the mean of its divisors is an integer number (72981090).

Almost surely, 2^11214101340 is an apocalyptic number.

11214101340 is a gapful number since it is divisible by the number (10) 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 11214101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018553920).

11214101340 is an abundant number, since it is smaller than the sum of its proper divisors (30823006500).

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

11214101340 is a wasteful number, since it uses less digits than its factorization.

11214101340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11214101340 its reverse (4310141211), we get a palindrome (15524242551).

The spelling of 11214101340 in words is "eleven billion, two hundred fourteen million, one hundred one thousand, three hundred forty".