1405365060000 has 480 divisors, whose sum is σ = 5065468531200. Its totient is φ = 338221440000.

The previous prime is 1405365059999. The next prime is 1405365060007. The reversal of 1405365060000 is 605635041.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1405365060000.

It is not an unprimeable number, because it can be changed into a prime (1405365060007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91732341 + ... + 91747659.

It is an arithmetic number, because the mean of its divisors is an integer number (10553059440).

Almost surely, 2^{1405365060000} is an apocalyptic number.

1405365060000 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 1405365060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532734265600).

1405365060000 is an abundant number, since it is smaller than the sum of its proper divisors (3660103471200).

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

1405365060000 is a wasteful number, since it uses less digits than its factorization.

1405365060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15502 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1405365060000 in words is "one trillion, four hundred five billion, three hundred sixty-five million, sixty thousand".