465145267411440 has 5120 divisors, whose sum is σ = 2274889826304000. Its totient is φ = 84321560494080.

The previous prime is 465145267411397. The next prime is 465145267411441. The reversal of 465145267411440 is 44114762541564.

465145267411440 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 4 + 526 + 74 + 1 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465145267411441) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 538986404449 + ... + 538986405311.

It is an arithmetic number, because the mean of its divisors is an integer number (444314419200).

Almost surely, 2^{465145267411440} is an apocalyptic number.

465145267411440 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 465145267411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137444913152000).

465145267411440 is an abundant number, since it is smaller than the sum of its proper divisors (1809744558892560).

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

465145267411440 is a wasteful number, since it uses less digits than its factorization.

465145267411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 465145267411440 in words is "four hundred sixty-five trillion, one hundred forty-five billion, two hundred sixty-seven million, four hundred eleven thousand, four hundred forty".