1411481548800 has 864 divisors, whose sum is σ = 5509098176400. Its totient is φ = 354153922560.

The previous prime is 1411481548727. The next prime is 1411481548801. The reversal of 1411481548800 is 88451841141.

1411481548800 is a `hidden beast` number, since 1 + 41 + 1 + 481 + 54 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411481548801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 399511834 + ... + 399515366.

Almost surely, 2^{1411481548800} is an apocalyptic number.

1411481548800 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 1411481548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754549088200).

1411481548800 is an abundant number, since it is smaller than the sum of its proper divisors (4097616627600).

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

1411481548800 is a wasteful number, since it uses less digits than its factorization.

1411481548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 1411481548800 in words is "one trillion, four hundred eleven billion, four hundred eighty-one million, five hundred forty-eight thousand, eight hundred".