1353120301400 has 96 divisors (see below), whose sum is σ = 3597240000000. Its totient is φ = 463693921920.

The previous prime is 1353120301397. The next prime is 1353120301457. The reversal of 1353120301400 is 41030213531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556851 + ... + 3040349.

It is an arithmetic number, because the mean of its divisors is an integer number (37471250000).

Almost surely, 2^{1353120301400} is an apocalyptic number.

1353120301400 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 1353120301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798620000000).

1353120301400 is an abundant number, since it is smaller than the sum of its proper divisors (2244119698600).

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

1353120301400 is a wasteful number, since it uses less digits than its factorization.

1353120301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485521 (or 485512 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 1353120301400 its reverse (41030213531), we get a palindrome (1394150514931).

The spelling of 1353120301400 in words is "one trillion, three hundred fifty-three billion, one hundred twenty million, three hundred one thousand, four hundred".