1356184227840 has 416 divisors, whose sum is σ = 4732421675520. Its totient is φ = 329588932608.

The previous prime is 1356184227799. The next prime is 1356184227851. The reversal of 1356184227840 is 487224816531.

It is a tau number, because it is divible by the number of its divisors (416).

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, 63088134 + ... + 63109626.

Almost surely, 2^{1356184227840} is an apocalyptic number.

1356184227840 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 1356184227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366210837760).

1356184227840 is an abundant number, since it is smaller than the sum of its proper divisors (3376237447680).

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

1356184227840 is a wasteful number, since it uses less digits than its factorization.

1356184227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21617 (or 21595 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 1356184227840 in words is "one trillion, three hundred fifty-six billion, one hundred eighty-four million, two hundred twenty-seven thousand, eight hundred forty".