461151312565200 has 240 divisors, whose sum is σ = 1528348004020800. Its totient is φ = 118718607257600.

The previous prime is 461151312565159. The next prime is 461151312565217. The reversal of 461151312565200 is 2565213151164.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283539916 + ... + 285161684.

It is an arithmetic number, because the mean of its divisors is an integer number (6368116683420).

Almost surely, 2^{461151312565200} is an apocalyptic number.

461151312565200 is a gapful number since it is divisible by the number (40) 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 461151312565200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764174002010400).

461151312565200 is an abundant number, since it is smaller than the sum of its proper divisors (1067196691455600).

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

461151312565200 is a wasteful number, since it uses less digits than its factorization.

461151312565200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629990 (or 1629979 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 461151312565200 in words is "four hundred sixty-one trillion, one hundred fifty-one billion, three hundred twelve million, five hundred sixty-five thousand, two hundred".