1342660838400 has 1584 divisors, whose sum is σ = 5937747638400. Its totient is φ = 296094597120.

The previous prime is 1342660838383. The next prime is 1342660838413. The reversal of 1342660838400 is 48380662431.

1342660838400 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 6 + 608 + 38 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 982194517 + ... + 982195883.

Almost surely, 2^{1342660838400} is an apocalyptic number.

1342660838400 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 1342660838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968873819200).

1342660838400 is an abundant number, since it is smaller than the sum of its proper divisors (4595086800000).

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

1342660838400 is a wasteful number, since it uses less digits than its factorization.

1342660838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1342660838400 in words is "one trillion, three hundred forty-two billion, six hundred sixty million, eight hundred thirty-eight thousand, four hundred".