461645701040 has 80 divisors (see below), whose sum is σ = 1138713784320. Its totient is φ = 173561875200.

The previous prime is 461645700977. The next prime is 461645701057. The reversal of 461645701040 is 40107546164.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 461645700985 and 461645701003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002686 + ... + 1388765.

It is an arithmetic number, because the mean of its divisors is an integer number (14233922304).

Almost surely, 2^461645701040 is an apocalyptic number.

461645701040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461645701040 is an abundant number, since it is smaller than the sum of its proper divisors (677068083280).

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

461645701040 is a wasteful number, since it uses less digits than its factorization.

461645701040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391610 (or 2391604 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 461645701040 in words is "four hundred sixty-one billion, six hundred forty-five million, seven hundred one thousand, forty".