1214235315440 has 120 divisors (see below), whose sum is σ = 3285064644192. Its totient is φ = 416175674880.

The previous prime is 1214235315437. The next prime is 1214235315463. The reversal of 1214235315440 is 445135324121.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1214235315440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12578237 + ... + 12674403.

Almost surely, 2^{1214235315440} is an apocalyptic number.

1214235315440 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 1214235315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642532322096).

1214235315440 is an abundant number, since it is smaller than the sum of its proper divisors (2070829328752).

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

1214235315440 is a wasteful number, since it uses less digits than its factorization.

1214235315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99415 (or 99402 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 1214235315440 in words is "one trillion, two hundred fourteen billion, two hundred thirty-five million, three hundred fifteen thousand, four hundred forty".