1214242407840 has 384 divisors, whose sum is σ = 4788483194880. Its totient is φ = 251261337600.

The previous prime is 1214242407839. The next prime is 1214242407877. The reversal of 1214242407840 is 487042424121.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8839201 + ... + 8975519.

It is an arithmetic number, because the mean of its divisors is an integer number (12470008320).

Almost surely, 2^{1214242407840} is an apocalyptic number.

1214242407840 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 1214242407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394241597440).

1214242407840 is an abundant number, since it is smaller than the sum of its proper divisors (3574240787040).

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

1214242407840 is a wasteful number, since it uses less digits than its factorization.

1214242407840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136596 (or 136588 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The spelling of 1214242407840 in words is "one trillion, two hundred fourteen billion, two hundred forty-two million, four hundred seven thousand, eight hundred forty".