465403126220340 has 192 divisors, whose sum is σ = 1668590275258368. Its totient is φ = 94093436505600.

The previous prime is 465403126220321. The next prime is 465403126220353. The reversal of 465403126220340 is 43022621304564.

It is a happy number.

It is a super-2 number, since 2×465403126220340² (a number of 30 digits) contains 22 as substring.

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 = 465403126220292 and 465403126220301.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1361134566 + ... + 1361476445.

It is an arithmetic number, because the mean of its divisors is an integer number (8690574350304).

Almost surely, 2^{465403126220340} is an apocalyptic number.

It is an amenable number.

465403126220340 is an abundant number, since it is smaller than the sum of its proper divisors (1203187149038028).

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

465403126220340 is a wasteful number, since it uses less digits than its factorization.

465403126220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722611078 (or 2722611076 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 465403126220340 in words is "four hundred sixty-five trillion, four hundred three billion, one hundred twenty-six million, two hundred twenty thousand, three hundred forty".