1353104114240 has 112 divisors (see below), whose sum is σ = 3358632530880. Its totient is φ = 518588528640.

The previous prime is 1353104114239. The next prime is 1353104114261. The reversal of 1353104114240 is 424114013531.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659159 + ... + 1772201.

Almost surely, 2^{1353104114240} is an apocalyptic number.

1353104114240 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 1353104114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679316265440).

1353104114240 is an abundant number, since it is smaller than the sum of its proper divisors (2005528416640).

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

1353104114240 is a wasteful number, since it uses less digits than its factorization.

1353104114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113220 (or 1113210 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 1353104114240 its reverse (424114013531), we get a palindrome (1777218127771).

The spelling of 1353104114240 in words is "one trillion, three hundred fifty-three billion, one hundred four million, one hundred fourteen thousand, two hundred forty".