1359945586440 has 1152 divisors, whose sum is σ = 5422095469440. Its totient is φ = 294451863552.

The previous prime is 1359945586283. The next prime is 1359945586457. The reversal of 1359945586440 is 446855499531.

1359945586440 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 9 + 4 + 5 + 586 + 4 + 40 = 666.

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

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, 5990949607 + ... + 5990949833.

It is an arithmetic number, because the mean of its divisors is an integer number (4706680095).

Almost surely, 2^{1359945586440} is an apocalyptic number.

1359945586440 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 1359945586440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711047734720).

1359945586440 is an abundant number, since it is smaller than the sum of its proper divisors (4062149883000).

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

1359945586440 is a wasteful number, since it uses less digits than its factorization.

1359945586440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 1359945586440 in words is "one trillion, three hundred fifty-nine billion, nine hundred forty-five million, five hundred eighty-six thousand, four hundred forty".