1352872441872 has 960 divisors, whose sum is σ = 4774080217088. Its totient is φ = 362797056000.

The previous prime is 1352872441871. The next prime is 1352872441891. The reversal of 1352872441872 is 2781442782531.

1352872441872 is a `hidden beast` number, since 1 + 3 + 52 + 8 + 72 + 441 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6021120) is a multiple of the sum of its prime factors (490).

It is not an unprimeable number, because it can be changed into a prime (1352872441871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4992149097 + ... + 4992149367.

Almost surely, 2^{1352872441872} is an apocalyptic number.

1352872441872 is a gapful number since it is divisible by the number (12) 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 1352872441872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387040108544).

1352872441872 is an abundant number, since it is smaller than the sum of its proper divisors (3421207775216).

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

1352872441872 is a wasteful number, since it uses less digits than its factorization.

1352872441872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 472 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 1352872441872 in words is "one trillion, three hundred fifty-two billion, eight hundred seventy-two million, four hundred forty-one thousand, eight hundred seventy-two".