1466013431200 has 72 divisors (see below), whose sum is σ = 3734509913568. Its totient is φ = 560909479680.

The previous prime is 1466013431153. The next prime is 1466013431231. The reversal of 1466013431200 is 21343106641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39818922 + ... + 39855721.

It is an arithmetic number, because the mean of its divisors is an integer number (51868193244).

Almost surely, 2^{1466013431200} is an apocalyptic number.

1466013431200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1466013431200 is an abundant number, since it is smaller than the sum of its proper divisors (2268496482368).

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

1466013431200 is a wasteful number, since it uses less digits than its factorization.

1466013431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79674686 (or 79674673 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 1466013431200 its reverse (21343106641), we get a palindrome (1487356537841).

The spelling of 1466013431200 in words is "one trillion, four hundred sixty-six billion, thirteen million, four hundred thirty-one thousand, two hundred".