406187242781604 has 384 divisors, whose sum is σ = 1037537057636352. Its totient is φ = 123333841128960.

The previous prime is 406187242781483. The next prime is 406187242781731.

It is a happy number.

406187242781604 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44021588839 + ... + 44021598065.

It is an arithmetic number, because the mean of its divisors is an integer number (2701919420928).

Almost surely, 2^{406187242781604} 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 406187242781604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518768528818176).

406187242781604 is an abundant number, since it is smaller than the sum of its proper divisors (631349814854748).

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

406187242781604 is a wasteful number, since it uses less digits than its factorization.

406187242781604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9855 (or 9853 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 406187242781604 in words is "four hundred six trillion, one hundred eighty-seven billion, two hundred forty-two million, seven hundred eighty-one thousand, six hundred four".