1353361540400 has 120 divisors (see below), whose sum is σ = 3301135466784. Its totient is φ = 533133619200.

The previous prime is 1353361540361. The next prime is 1353361540417. The reversal of 1353361540400 is 40451633531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7001045 + ... + 7191755.

Almost surely, 2^{1353361540400} is an apocalyptic number.

1353361540400 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 1353361540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650567733392).

1353361540400 is an abundant number, since it is smaller than the sum of its proper divisors (1947773926384).

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

1353361540400 is a wasteful number, since it uses less digits than its factorization.

1353361540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190999 (or 190988 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 1353361540400 in words is "one trillion, three hundred fifty-three billion, three hundred sixty-one million, five hundred forty thousand, four hundred".