1342704190464 has 1584 divisors, whose sum is σ = 5180121955008. Its totient is φ = 344128684032.

The previous prime is 1342704190453. The next prime is 1342704190469. The reversal of 1342704190464 is 4640914072431.

1342704190464 is a `hidden beast` number, since 1 + 34 + 2 + 70 + 4 + 1 + 90 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (1342704190469) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6815757214 + ... + 6815757410.

It is an arithmetic number, because the mean of its divisors is an integer number (3270279012).

Almost surely, 2^{1342704190464} is an apocalyptic number.

1342704190464 is a gapful number since it is divisible by the number (14) 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 1342704190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590060977504).

1342704190464 is an abundant number, since it is smaller than the sum of its proper divisors (3837417764544).

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

1342704190464 is a wasteful number, since it uses less digits than its factorization.

1342704190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1342704190464 in words is "one trillion, three hundred forty-two billion, seven hundred four million, one hundred ninety thousand, four hundred sixty-four".