1461239287200 has 3456 divisors, whose sum is σ = 7128119771136. Its totient is φ = 283295232000.

The previous prime is 1461239287181. The next prime is 1461239287273. The reversal of 1461239287200 is 27829321641.

1461239287200 is a `hidden beast` number, since 1 + 4 + 612 + 3 + 9 + 2 + 8 + 7 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21809541567 + ... + 21809541633.

It is an arithmetic number, because the mean of its divisors is an integer number (2062534656).

Almost surely, 2^{1461239287200} is an apocalyptic number.

1461239287200 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 1461239287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564059885568).

1461239287200 is an abundant number, since it is smaller than the sum of its proper divisors (5666880483936).

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

1461239287200 is a wasteful number, since it uses less digits than its factorization.

1461239287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1461239287200 in words is "one trillion, four hundred sixty-one billion, two hundred thirty-nine million, two hundred eighty-seven thousand, two hundred".