465668311038840 has 1024 divisors, whose sum is σ = 2064094824960000. Its totient is φ = 92471415644160.

The previous prime is 465668311038839. The next prime is 465668311038841. The reversal of 465668311038840 is 48830113866564.

465668311038840 is a `hidden beast` number, since 4 + 6 + 5 + 66 + 83 + 110 + 388 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (465668311038839) and next prime (465668311038841).

It is a super-4 number, since 4×465668311038840⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465668311038841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79023195 + ... + 84711285.

It is an arithmetic number, because the mean of its divisors is an integer number (2015717602500).

Almost surely, 2^{465668311038840} is an apocalyptic number.

465668311038840 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 465668311038840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032047412480000).

465668311038840 is an abundant number, since it is smaller than the sum of its proper divisors (1598426513921160).

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

465668311038840 is a wasteful number, since it uses less digits than its factorization.

465668311038840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688162 (or 5688138 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 465668311038840 in words is "four hundred sixty-five trillion, six hundred sixty-eight billion, three hundred eleven million, thirty-eight thousand, eight hundred forty".