1461634312320 has 3072 divisors, whose sum is σ = 7025581785600. Its totient is φ = 283596816384.

The previous prime is 1461634312309. The next prime is 1461634312343. The reversal of 1461634312320 is 232134361641.

1461634312320 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 634 + 3 + 12 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13660133707 + ... + 13660133813.

Almost surely, 2^{1461634312320} is an apocalyptic number.

1461634312320 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 1461634312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512790892800).

1461634312320 is an abundant number, since it is smaller than the sum of its proper divisors (5563947473280).

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

1461634312320 is a wasteful number, since it uses less digits than its factorization.

1461634312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 1461634312320 its reverse (232134361641), we get a palindrome (1693768673961).

The spelling of 1461634312320 in words is "one trillion, four hundred sixty-one billion, six hundred thirty-four million, three hundred twelve thousand, three hundred twenty".