464140646041464 has 256 divisors, whose sum is σ = 1491549573120000. Its totient is φ = 130992884563968.

The previous prime is 464140646041463. The next prime is 464140646041493.

464140646041464 is a `hidden beast` number, since 4 + 6 + 4 + 14 + 0 + 6 + 4 + 604 + 14 + 6 + 4 = 666.

464140646041464 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 464140646041464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464140646041463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38695992 + ... + 49251000.

It is an arithmetic number, because the mean of its divisors is an integer number (5826365520000).

Almost surely, 2^{464140646041464} 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 464140646041464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745774786560000).

464140646041464 is an abundant number, since it is smaller than the sum of its proper divisors (1027408927078536).

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

464140646041464 is a wasteful number, since it uses less digits than its factorization.

464140646041464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555387 (or 10555377 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 464140646041464 in words is "four hundred sixty-four trillion, one hundred forty billion, six hundred forty-six million, forty-one thousand, four hundred sixty-four".