464071003040 has 48 divisors (see below), whose sum is σ = 1101563880480. Its totient is φ = 184748632320.

The previous prime is 464071003003. The next prime is 464071003043. The reversal of 464071003040 is 40300170464.

It is a junction number, because it is equal to n+sod(n) for n = 464071002994 and 464071003012.

It is not an unprimeable number, because it can be changed into a prime (464071003043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6839330 + ... + 6906849.

It is an arithmetic number, because the mean of its divisors is an integer number (22949247510).

Almost surely, 2^464071003040 is an apocalyptic number.

464071003040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464071003040 is an abundant number, since it is smaller than the sum of its proper divisors (637492877440).

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

464071003040 is a wasteful number, since it uses less digits than its factorization.

464071003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746405 (or 13746397 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 464071003040 in words is "four hundred sixty-four billion, seventy-one million, three thousand, forty".