1340219110464 has 560 divisors, whose sum is σ = 4326772843008. Its totient is φ = 407750049792.

The previous prime is 1340219110463. The next prime is 1340219110487. The reversal of 1340219110464 is 4640119120431.

1340219110464 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 191 + 1 + 0 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1340219110463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3862302739 + ... + 3862303085.

Almost surely, 2^{1340219110464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340219110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163386421504).

1340219110464 is an abundant number, since it is smaller than the sum of its proper divisors (2986553732544).

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

1340219110464 is a wasteful number, since it uses less digits than its factorization.

1340219110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1340219110464 in words is "one trillion, three hundred forty billion, two hundred nineteen million, one hundred ten thousand, four hundred sixty-four".