450682234717040 has 160 divisors (see below), whose sum is σ = 1063217897127936. Its totient is φ = 177646055731200.

The previous prime is 450682234717021. The next prime is 450682234717051. The reversal of 450682234717040 is 40717432286054.

It is a super-2 number, since 2×450682234717040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16696249784 + ... + 16696276776.

Almost surely, 2^{450682234717040} is an apocalyptic number.

450682234717040 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 450682234717040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531608948563968).

450682234717040 is an abundant number, since it is smaller than the sum of its proper divisors (612535662410896).

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

450682234717040 is a wasteful number, since it uses less digits than its factorization.

450682234717040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38167 (or 38161 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 53.

The spelling of 450682234717040 in words is "four hundred fifty trillion, six hundred eighty-two billion, two hundred thirty-four million, seven hundred seventeen thousand, forty".