450333368142 has 128 divisors (see below), whose sum is σ = 1147747138560. Its totient is φ = 114674227200.

The previous prime is 450333368141. The next prime is 450333368179. The reversal of 450333368142 is 241863333054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 450333368094 and 450333368103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450333368141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38480892 + ... + 38492592.

It is an arithmetic number, because the mean of its divisors is an integer number (8966774520).

Almost surely, 2^450333368142 is an apocalyptic number.

450333368142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 450333368142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573873569280).

450333368142 is an abundant number, since it is smaller than the sum of its proper divisors (697413770418).

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

450333368142 is a wasteful number, since it uses less digits than its factorization.

450333368142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14586.

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 450333368142 in words is "four hundred fifty billion, three hundred thirty-three million, three hundred sixty-eight thousand, one hundred forty-two".