405441469440 has 440 divisors, whose sum is σ = 1660438166112. Its totient is φ = 92671672320.

The previous prime is 405441469403. The next prime is 405441469441. The reversal of 405441469440 is 44964144504.

It is a happy number.

405441469440 is a `hidden beast` number, since 4 + 0 + 544 + 1 + 4 + 69 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405441469441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2833210 + ... + 2972870.

Almost surely, 2^405441469440 is an apocalyptic number.

405441469440 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 405441469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830219083056).

405441469440 is an abundant number, since it is smaller than the sum of its proper divisors (1254996696672).

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

405441469440 is a wasteful number, since it uses less digits than its factorization.

405441469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139705 (or 139678 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 405441469440 in words is "four hundred five billion, four hundred forty-one million, four hundred sixty-nine thousand, four hundred forty".