4506400312464 has 160 divisors (see below), whose sum is σ = 12545557032960. Its totient is φ = 1390450564096.

The previous prime is 4506400312411. The next prime is 4506400312483. The reversal of 4506400312464 is 4642130046054.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4130119 + ... + 5105945.

It is an arithmetic number, because the mean of its divisors is an integer number (78409731456).

Almost surely, 2^{4506400312464} 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 4506400312464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272778516480).

4506400312464 is an abundant number, since it is smaller than the sum of its proper divisors (8039156720496).

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

4506400312464 is a wasteful number, since it uses less digits than its factorization.

4506400312464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975997 (or 975991 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 4506400312464 in words is "four trillion, five hundred six billion, four hundred million, three hundred twelve thousand, four hundred sixty-four".