462002067040 has 48 divisors (see below), whose sum is σ = 1129117132080. Its totient is φ = 178428382720.

The previous prime is 462002066963. The next prime is 462002067041. The reversal of 462002067040 is 40760200264.

It is a super-3 number, since 3×462002067040³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 462002066993 and 462002067011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462002067041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49780066 + ... + 49789345.

It is an arithmetic number, because the mean of its divisors is an integer number (23523273585).

Almost surely, 2^462002067040 is an apocalyptic number.

462002067040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462002067040 is an abundant number, since it is smaller than the sum of its proper divisors (667115065040).

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

462002067040 is a wasteful number, since it uses less digits than its factorization.

462002067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99569455 (or 99569447 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 462002067040 in words is "four hundred sixty-two billion, two million, sixty-seven thousand, forty".