464531556670440 has 256 divisors, whose sum is σ = 1648160462592000. Its totient is φ = 102482411566080.

The previous prime is 464531556670421. The next prime is 464531556670471. The reversal of 464531556670440 is 44076655135464.

It is a super-3 number, since 3×464531556670440³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68349835 + ... + 74838245.

It is an arithmetic number, because the mean of its divisors is an integer number (6438126807000).

Almost surely, 2^{464531556670440} is an apocalyptic number.

464531556670440 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 464531556670440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824080231296000).

464531556670440 is an abundant number, since it is smaller than the sum of its proper divisors (1183628905921560).

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

464531556670440 is a wasteful number, since it uses less digits than its factorization.

464531556670440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491400 (or 6491396 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 60.

The spelling of 464531556670440 in words is "four hundred sixty-four trillion, five hundred thirty-one billion, five hundred fifty-six million, six hundred seventy thousand, four hundred forty".