1364085011540 has 96 divisors (see below), whose sum is σ = 3001596272640. Its totient is φ = 519735782016.

The previous prime is 1364085011537. The next prime is 1364085011551. The reversal of 1364085011540 is 451105804631.

It is a junction number, because it is equal to n+sod(n) for n = 1364085011494 and 1364085011503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330524957 + ... + 330529083.

It is an arithmetic number, because the mean of its divisors is an integer number (31266627840).

Almost surely, 2^{1364085011540} is an apocalyptic number.

1364085011540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1167940×1167941.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364085011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500798136320).

1364085011540 is an abundant number, since it is smaller than the sum of its proper divisors (1637511261100).

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

1364085011540 is a wasteful number, since it uses less digits than its factorization.

1364085011540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6981 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 1364085011540 in words is "one trillion, three hundred sixty-four billion, eighty-five million, eleven thousand, five hundred forty".