405344144040100 has 108 divisors (see below), whose sum is σ = 928581930234000. Its totient is φ = 153562066845120.

The previous prime is 405344144040089. The next prime is 405344144040139. The reversal of 405344144040100 is 1040441443504.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130555551 + ... + 133624249.

It is an arithmetic number, because the mean of its divisors is an integer number (8597980835500).

Almost surely, 2^{405344144040100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405344144040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464290965117000).

405344144040100 is an abundant number, since it is smaller than the sum of its proper divisors (523237786193900).

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

405344144040100 is a wasteful number, since it uses less digits than its factorization.

405344144040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072410 (or 3072384 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 405344144040100 its reverse (1040441443504), we get a palindrome (406384585483604).

The spelling of 405344144040100 in words is "four hundred five trillion, three hundred forty-four billion, one hundred forty-four million, forty thousand, one hundred".