465343720140 has 192 divisors, whose sum is σ = 1438089117696. Its totient is φ = 111705689088.

The previous prime is 465343720129. The next prime is 465343720151. The reversal of 465343720140 is 41027343564.

It is an interprime number because it is at equal distance from previous prime (465343720129) and next prime (465343720151).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21890997 + ... + 21912243.

It is an arithmetic number, because the mean of its divisors is an integer number (7490047488).

Almost surely, 2^465343720140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465343720140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719044558848).

465343720140 is an abundant number, since it is smaller than the sum of its proper divisors (972745397556).

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

465343720140 is a wasteful number, since it uses less digits than its factorization.

465343720140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21968 (or 21966 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 465343720140 in words is "four hundred sixty-five billion, three hundred forty-three million, seven hundred twenty thousand, one hundred forty".