1356338865840 has 320 divisors, whose sum is σ = 4966276423680. Its totient is φ = 299659714560.

The previous prime is 1356338865829. The next prime is 1356338865857. The reversal of 1356338865840 is 485688336531.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44617366 + ... + 44647754.

It is an arithmetic number, because the mean of its divisors is an integer number (15519613824).

Almost surely, 2^{1356338865840} is an apocalyptic number.

1356338865840 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 1356338865840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483138211840).

1356338865840 is an abundant number, since it is smaller than the sum of its proper divisors (3609937557840).

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

1356338865840 is a wasteful number, since it uses less digits than its factorization.

1356338865840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31300 (or 31294 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 1356338865840 in words is "one trillion, three hundred fifty-six billion, three hundred thirty-eight million, eight hundred sixty-five thousand, eight hundred forty".