1461447187200 has 5184 divisors, whose sum is σ = 7863786685440. Its totient is φ = 260112384000.

The previous prime is 1461447187153. The next prime is 1461447187201. The reversal of 1461447187200 is 27817441641.

1461447187200 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 447 + 187 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1461447187201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 20583763165 + ... + 20583763235.

It is an arithmetic number, because the mean of its divisors is an integer number (1516934160).

Almost surely, 2^{1461447187200} is an apocalyptic number.

1461447187200 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 1461447187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931893342720).

1461447187200 is an abundant number, since it is smaller than the sum of its proper divisors (6402339498240).

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

1461447187200 is a wasteful number, since it uses less digits than its factorization.

1461447187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1461447187200 in words is "one trillion, four hundred sixty-one billion, four hundred forty-seven million, one hundred eighty-seven thousand, two hundred".