450418922376840 has 192 divisors, whose sum is σ = 1471490663937840. Its totient is φ = 119485767352320.

The previous prime is 450418922376811. The next prime is 450418922376881. The reversal of 450418922376840 is 48673229814054.

450418922376840 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 189 + 2 + 2 + 376 + 84 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 226738003383684 + 223680918993156 = 15057822^2 + 14955966^2 .

It is a super-2 number, since 2×450418922376840² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2938441000 + ... + 2938594280.

It is a 1-persistent number, because it is pandigital, but 2⋅450418922376840 = 900837844753680 is not.

Almost surely, 2^{450418922376840} is an apocalyptic number.

450418922376840 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 450418922376840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735745331968920).

450418922376840 is an abundant number, since it is smaller than the sum of its proper divisors (1021071741561000).

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

450418922376840 is a wasteful number, since it uses less digits than its factorization.

450418922376840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195784 (or 195777 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 450418922376840 in words is "four hundred fifty trillion, four hundred eighteen billion, nine hundred twenty-two million, three hundred seventy-six thousand, eight hundred forty".