1214431300440 has 384 divisors, whose sum is σ = 4329315993600. Its totient is φ = 293910958080.

The previous prime is 1214431300429. The next prime is 1214431300531. The reversal of 1214431300440 is 440031344121.

1214431300440 is a `hidden beast` number, since 1 + 214 + 4 + 3 + 1 + 3 + 0 + 0 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53679451 + ... + 53702069.

It is an arithmetic number, because the mean of its divisors is an integer number (11274260400).

Almost surely, 2^{1214431300440} is an apocalyptic number.

1214431300440 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 1214431300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164657996800).

1214431300440 is an abundant number, since it is smaller than the sum of its proper divisors (3114884693160).

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

1214431300440 is a wasteful number, since it uses less digits than its factorization.

1214431300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22967 (or 22960 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1214431300440 its reverse (440031344121), we get a palindrome (1654462644561).

The spelling of 1214431300440 in words is "one trillion, two hundred fourteen billion, four hundred thirty-one million, three hundred thousand, four hundred forty".