1281952072800 has 1440 divisors, whose sum is σ = 5504769547200. Its totient is φ = 290187878400.

The previous prime is 1281952072759. The next prime is 1281952072831. The reversal of 1281952072800 is 82702591821.

1281952072800 is a `hidden beast` number, since 1 + 2 + 81 + 95 + 207 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1281952072800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3045016590 + ... + 3045017010.

It is an arithmetic number, because the mean of its divisors is an integer number (3822756630).

Almost surely, 2^{1281952072800} is an apocalyptic number.

1281952072800 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 1281952072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752384773600).

1281952072800 is an abundant number, since it is smaller than the sum of its proper divisors (4222817474400).

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

1281952072800 is a wasteful number, since it uses less digits than its factorization.

1281952072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1281952072800 in words is "one trillion, two hundred eighty-one billion, nine hundred fifty-two million, seventy-two thousand, eight hundred".