1342415452000 has 384 divisors, whose sum is σ = 3990274928640. Its totient is φ = 434039961600.

The previous prime is 1342415451997. The next prime is 1342415452003. The reversal of 1342415452000 is 2545142431.

It is an interprime number because it is at equal distance from previous prime (1342415451997) and next prime (1342415452003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342415452003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34896777 + ... + 34935223.

It is an arithmetic number, because the mean of its divisors is an integer number (10391340960).

Almost surely, 2^{1342415452000} is an apocalyptic number.

1342415452000 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 1342415452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995137464320).

1342415452000 is an abundant number, since it is smaller than the sum of its proper divisors (2647859476640).

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

1342415452000 is a wasteful number, since it uses less digits than its factorization.

1342415452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38551 (or 38533 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 1342415452000 in words is "one trillion, three hundred forty-two billion, four hundred fifteen million, four hundred fifty-two thousand".