1352840901120 has 800 divisors, whose sum is σ = 4992071344128. Its totient is φ = 349981212672.

The previous prime is 1352840901059. The next prime is 1352840901131. The reversal of 1352840901120 is 211090482531.

1352840901120 is a `hidden beast` number, since 1 + 3 + 528 + 4 + 0 + 9 + 0 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1237731294 + ... + 1237732386.

Almost surely, 2^{1352840901120} is an apocalyptic number.

1352840901120 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 1352840901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496035672064).

1352840901120 is an abundant number, since it is smaller than the sum of its proper divisors (3639230443008).

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

1352840901120 is a wasteful number, since it uses less digits than its factorization.

1352840901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1352840901120 in words is "one trillion, three hundred fifty-two billion, eight hundred forty million, nine hundred one thousand, one hundred twenty".