1214143131040 has 96 divisors (see below), whose sum is σ = 3279982374144. Its totient is φ = 416049592320.

The previous prime is 1214143131017. The next prime is 1214143131049. The reversal of 1214143131040 is 401313414121.

It is a super-2 number, since 2×1214143131040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1214143130996 and 1214143131014.

It is not an unprimeable number, because it can be changed into a prime (1214143131049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1754692 + ... + 2346748.

It is an arithmetic number, because the mean of its divisors is an integer number (34166483064).

Almost surely, 2^{1214143131040} is an apocalyptic number.

1214143131040 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 1214143131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639991187072).

1214143131040 is an abundant number, since it is smaller than the sum of its proper divisors (2065839243104).

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

1214143131040 is a wasteful number, since it uses less digits than its factorization.

1214143131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593910 (or 593902 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1214143131040 its reverse (401313414121), we get a palindrome (1615456545161).

The spelling of 1214143131040 in words is "one trillion, two hundred fourteen billion, one hundred forty-three million, one hundred thirty-one thousand, forty".