1461715140200 has 384 divisors, whose sum is σ = 4206228998400. Its totient is φ = 461145415680.

The previous prime is 1461715140187. The next prime is 1461715140211. The reversal of 1461715140200 is 20415171641.

It is a super-2 number, since 2×1461715140200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 843458534 + ... + 843460266.

It is an arithmetic number, because the mean of its divisors is an integer number (10953721350).

Almost surely, 2^{1461715140200} is an apocalyptic number.

1461715140200 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 1461715140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103114499200).

1461715140200 is an abundant number, since it is smaller than the sum of its proper divisors (2744513858200).

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

1461715140200 is a wasteful number, since it uses less digits than its factorization.

1461715140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 1461715140200 in words is "one trillion, four hundred sixty-one billion, seven hundred fifteen million, one hundred forty thousand, two hundred".