469354789945440 has 1152 divisors, whose sum is σ = 1991886290311680. Its totient is φ = 102823556419584.

The previous prime is 469354789945409. The next prime is 469354789945463. The reversal of 469354789945440 is 44549987453964.

469354789945440 is a `hidden beast` number, since 4 + 6 + 9 + 3 + 5 + 4 + 7 + 89 + 94 + 5 + 440 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 469354789945440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 524307507 + ... + 525201933.

It is an arithmetic number, because the mean of its divisors is an integer number (1729067960340).

Almost surely, 2^{469354789945440} is an apocalyptic number.

469354789945440 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 469354789945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995943145155840).

469354789945440 is an abundant number, since it is smaller than the sum of its proper divisors (1522531500366240).

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

469354789945440 is a wasteful number, since it uses less digits than its factorization.

469354789945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894569 (or 894548 counting only the distinct ones).

The product of its (nonzero) digits is 18811699200, while the sum is 81.

The spelling of 469354789945440 in words is "four hundred sixty-nine trillion, three hundred fifty-four billion, seven hundred eighty-nine million, nine hundred forty-five thousand, four hundred forty".