1214300111040 has 672 divisors, whose sum is σ = 4528609525440. Its totient is φ = 297603072000.

The previous prime is 1214300110993. The next prime is 1214300111047. The reversal of 1214300111040 is 401110034121.

1214300111040 is a `hidden beast` number, since 1 + 214 + 300 + 1 + 110 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1214300111047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 933358390 + ... + 933359690.

It is an arithmetic number, because the mean of its divisors is an integer number (6739002270).

Almost surely, 2^{1214300111040} is an apocalyptic number.

1214300111040 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 1214300111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264304762720).

1214300111040 is an abundant number, since it is smaller than the sum of its proper divisors (3314309414400).

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

1214300111040 is a wasteful number, since it uses less digits than its factorization.

1214300111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1828 counting only the distinct ones).

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

Adding to 1214300111040 its reverse (401110034121), we get a palindrome (1615410145161).

The spelling of 1214300111040 in words is "one trillion, two hundred fourteen billion, three hundred million, one hundred eleven thousand, forty".