467722045440 has 1152 divisors, whose sum is σ = 1908180892800. Its totient is φ = 108928696320.

The previous prime is 467722045403. The next prime is 467722045471. The reversal of 467722045440 is 44540227764.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614614660 + ... + 614615420.

It is an arithmetic number, because the mean of its divisors is an integer number (1656407025).

Almost surely, 2^467722045440 is an apocalyptic number.

467722045440 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 467722045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954090446400).

467722045440 is an abundant number, since it is smaller than the sum of its proper divisors (1440458847360).

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

467722045440 is a wasteful number, since it uses less digits than its factorization.

467722045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 467722045440 in words is "four hundred sixty-seven billion, seven hundred twenty-two million, forty-five thousand, four hundred forty".