1342295505408 has 320 divisors, whose sum is σ = 4229053323264. Its totient is φ = 372971520000.

The previous prime is 1342295505407. The next prime is 1342295505449. The reversal of 1342295505408 is 8045055922431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1342295505407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33146613 + ... + 33187083.

Almost surely, 2^{1342295505408} 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 1342295505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114526661632).

1342295505408 is an abundant number, since it is smaller than the sum of its proper divisors (2886757817856).

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

1342295505408 is a wasteful number, since it uses less digits than its factorization.

1342295505408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40667 (or 40651 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 1342295505408 in words is "one trillion, three hundred forty-two billion, two hundred ninety-five million, five hundred five thousand, four hundred eight".