1411812864000 has 2496 divisors, whose sum is σ = 6659422967808. Its totient is φ = 278986752000.

The previous prime is 1411812863963. The next prime is 1411812864001. The reversal of 1411812864000 is 4682181141.

1411812864000 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 8 + 1 + 2 + 8 + 640 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1411812864001) 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, 8160767914 + ... + 8160768086.

It is an arithmetic number, because the mean of its divisors is an integer number (2668038048).

Almost surely, 2^{1411812864000} is an apocalyptic number.

1411812864000 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 1411812864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329711483904).

1411812864000 is an abundant number, since it is smaller than the sum of its proper divisors (5247610103808).

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

1411812864000 is a wasteful number, since it uses less digits than its factorization.

1411812864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1411812864000 in words is "one trillion, four hundred eleven billion, eight hundred twelve million, eight hundred sixty-four thousand".