1359101219280 has 640 divisors, whose sum is σ = 5300746444800. Its totient is φ = 280875589632.

The previous prime is 1359101219251. The next prime is 1359101219297. The reversal of 1359101219280 is 829121019531.

It is a super-2 number, since 2×1359101219280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 373685622 + ... + 373689258.

It is an arithmetic number, because the mean of its divisors is an integer number (8282416320).

Almost surely, 2^{1359101219280} is an apocalyptic number.

1359101219280 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 1359101219280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650373222400).

1359101219280 is an abundant number, since it is smaller than the sum of its proper divisors (3941645225520).

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

1359101219280 is a wasteful number, since it uses less digits than its factorization.

1359101219280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 1359101219280 in words is "one trillion, three hundred fifty-nine billion, one hundred one million, two hundred nineteen thousand, two hundred eighty".