413144040040020 has 288 divisors, whose sum is σ = 1257930273600000. Its totient is φ = 109757313515520.

The previous prime is 413144040039977. The next prime is 413144040040099. The reversal of 413144040040020 is 20040040441314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118074888231 + ... + 118074891729.

It is an arithmetic number, because the mean of its divisors is an integer number (4367813450000).

Almost surely, 2^{413144040040020} is an apocalyptic number.

It is an amenable number.

413144040040020 is an abundant number, since it is smaller than the sum of its proper divisors (844786233559980).

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

413144040040020 is a wasteful number, since it uses less digits than its factorization.

413144040040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 413144040040020 its reverse (20040040441314), we get a palindrome (433184080481334).

The spelling of 413144040040020 in words is "four hundred thirteen trillion, one hundred forty-four billion, forty million, forty thousand, twenty".