466311035770440 has 1024 divisors, whose sum is σ = 1659437675642880. Its totient is φ = 102622740480000.

The previous prime is 466311035770427. The next prime is 466311035770471. The reversal of 466311035770440 is 44077530113664.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 775891906140 + ... + 775891906740.

It is an arithmetic number, because the mean of its divisors is an integer number (1620544605120).

Almost surely, 2^{466311035770440} is an apocalyptic number.

466311035770440 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 466311035770440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829718837821440).

466311035770440 is an abundant number, since it is smaller than the sum of its proper divisors (1193126639872440).

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

466311035770440 is a wasteful number, since it uses less digits than its factorization.

466311035770440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 466311035770440 in words is "four hundred sixty-six trillion, three hundred eleven billion, thirty-five million, seven hundred seventy thousand, four hundred forty".