405559405440 has 1920 divisors, whose sum is σ = 1782935193600. Its totient is φ = 87495303168.

The previous prime is 405559405439. The next prime is 405559405453. The reversal of 405559405440 is 44504955504.

405559405440 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 594 + 0 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5133663321 + ... + 5133663399.

It is an arithmetic number, because the mean of its divisors is an integer number (928612080).

Almost surely, 2^405559405440 is an apocalyptic number.

405559405440 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 405559405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891467596800).

405559405440 is an abundant number, since it is smaller than the sum of its proper divisors (1377375788160).

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

405559405440 is a wasteful number, since it uses less digits than its factorization.

405559405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 405559405440 in words is "four hundred five billion, five hundred fifty-nine million, four hundred five thousand, four hundred forty".