409431020544000 has 3584 divisors, whose sum is σ = 1872583883089920. Its totient is φ = 85953871872000.

The previous prime is 409431020543953. The next prime is 409431020544001. The reversal of 409431020544000 is 445020134904.

409431020544000 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 3 + 1 + 0 + 205 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (409431020544001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 888136703770 + ... + 888136704230.

It is an arithmetic number, because the mean of its divisors is an integer number (522484342380).

Almost surely, 2^{409431020544000} is an apocalyptic number.

409431020544000 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 409431020544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936291941544960).

409431020544000 is an abundant number, since it is smaller than the sum of its proper divisors (1463152862545920).

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

409431020544000 is a wasteful number, since it uses less digits than its factorization.

409431020544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 409431020544000 its reverse (445020134904), we get a palindrome (409876040678904).

The spelling of 409431020544000 in words is "four hundred nine trillion, four hundred thirty-one billion, twenty million, five hundred forty-four thousand".