461375067120 has 320 divisors, whose sum is σ = 1573627281408. Its totient is φ = 110896128000.

The previous prime is 461375067113. The next prime is 461375067157. The reversal of 461375067120 is 21760573164.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183011460 + ... + 183013980.

Almost surely, 2^461375067120 is an apocalyptic number.

461375067120 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 461375067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786813640704).

461375067120 is an abundant number, since it is smaller than the sum of its proper divisors (1112252214288).

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

461375067120 is a wasteful number, since it uses less digits than its factorization.

461375067120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 461375067120 in words is "four hundred sixty-one billion, three hundred seventy-five million, sixty-seven thousand, one hundred twenty".