1342861988832 has 1728 divisors, whose sum is σ = 5375888953344. Its totient is φ = 321411317760.

The previous prime is 1342861988773. The next prime is 1342861988857. The reversal of 1342861988832 is 2388891682431.

1342861988832 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 8 + 619 + 8 + 8 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1342861988832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4847877078 + ... + 4847877354.

It is an arithmetic number, because the mean of its divisors is an integer number (3111046848).

Almost surely, 2^{1342861988832} is an apocalyptic number.

1342861988832 is a gapful number since it is divisible by the number (12) 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 1342861988832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687944476672).

1342861988832 is an abundant number, since it is smaller than the sum of its proper divisors (4033026964512).

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

1342861988832 is a wasteful number, since it uses less digits than its factorization.

1342861988832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 350 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 1342861988832 in words is "one trillion, three hundred forty-two billion, eight hundred sixty-one million, nine hundred eighty-eight thousand, eight hundred thirty-two".