1340889889024 has 189 divisors, whose sum is σ = 3137497781691. Its totient is φ = 571943554560.

The previous prime is 1340889888973. The next prime is 1340889889033. The reversal of 1340889889024 is 4209889880431.

It is a happy number.

The square root of 1340889889024 is 1157968.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 6354928279 + ... + 6354928489.

Almost surely, 2^{1340889889024} is an apocalyptic number.

1340889889024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1340889889024 is the 1157968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340889889024

1340889889024 is an abundant number, since it is smaller than the sum of its proper divisors (1796607892667).

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

1340889889024 is an frugal number, since it uses more digits than its factorization.

1340889889024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 64.

Multiplying 1340889889024 by its sum of digits (64), we get a square (85816952897536 = 9263744²).

1340889889024 divided by its sum of digits (64) gives a square (20951404516 = 144746²).

The spelling of 1340889889024 in words is "one trillion, three hundred forty billion, eight hundred eighty-nine million, eight hundred eighty-nine thousand, twenty-four".