1353182441800 has 144 divisors (see below), whose sum is σ = 3749070864420. Its totient is φ = 452632320000.

The previous prime is 1353182441797. The next prime is 1353182441803. The reversal of 1353182441800 is 81442813531.

It is an interprime number because it is at equal distance from previous prime (1353182441797) and next prime (1353182441803).

It can be written as a sum of positive squares in 6 ways, for example, as 616699231204 + 736483210596 = 785302^2 + 858186^2 .

It is a super-2 number, since 2×1353182441800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1353182441803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1282101 + ... + 2085700.

Almost surely, 2^{1353182441800} is an apocalyptic number.

1353182441800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353182441800 is an abundant number, since it is smaller than the sum of its proper divisors (2395888422620).

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

1353182441800 is a wasteful number, since it uses less digits than its factorization.

1353182441800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367872 (or 3367856 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 1353182441800 in words is "one trillion, three hundred fifty-three billion, one hundred eighty-two million, four hundred forty-one thousand, eight hundred".