1353331142240 has 576 divisors, whose sum is σ = 4132601109504. Its totient is φ = 406824960000.

The previous prime is 1353331142239. The next prime is 1353331142243. The reversal of 1353331142240 is 422411333531.

It is a super-2 number, since 2×1353331142240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1353331142197 and 1353331142206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353331142243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2091701597 + ... + 2091702243.

It is an arithmetic number, because the mean of its divisors is an integer number (7174654704).

Almost surely, 2^{1353331142240} is an apocalyptic number.

1353331142240 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 1353331142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066300554752).

1353331142240 is an abundant number, since it is smaller than the sum of its proper divisors (2779269967264).

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

1353331142240 is a wasteful number, since it uses less digits than its factorization.

1353331142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 1353331142240 its reverse (422411333531), we get a palindrome (1775742475771).

The spelling of 1353331142240 in words is "one trillion, three hundred fifty-three billion, three hundred thirty-one million, one hundred forty-two thousand, two hundred forty".