460723770061040 has 80 divisors (see below), whose sum is σ = 1097922552834240. Its totient is φ = 179694139607040.

The previous prime is 460723770060979. The next prime is 460723770061127. The reversal of 460723770061040 is 40160077327064.

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

It is a congruent number.

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, 33389924 + ... + 45125763.

It is an arithmetic number, because the mean of its divisors is an integer number (13724031910428).

Almost surely, 2^{460723770061040} is an apocalyptic number.

460723770061040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460723770061040 is an abundant number, since it is smaller than the sum of its proper divisors (637198782773200).

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

460723770061040 is a wasteful number, since it uses less digits than its factorization.

460723770061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78517530 (or 78517524 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 47.

The spelling of 460723770061040 in words is "four hundred sixty trillion, seven hundred twenty-three billion, seven hundred seventy million, sixty-one thousand, forty".