406641146604 has 96 divisors (see below), whose sum is σ = 1184215721472. Its totient is φ = 105508608000.

The previous prime is 406641146581. The next prime is 406641146617.

406641146604 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×406641146604² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635644 + ... + 1103324.

It is an arithmetic number, because the mean of its divisors is an integer number (12335580432).

Almost surely, 2^406641146604 is an apocalyptic number.

406641146604 is a gapful number since it is divisible by the number (44) 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 406641146604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592107860736).

406641146604 is an abundant number, since it is smaller than the sum of its proper divisors (777574574868).

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

406641146604 is a wasteful number, since it uses less digits than its factorization.

406641146604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468647 (or 468645 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 406641146604 in words is "four hundred six billion, six hundred forty-one million, one hundred forty-six thousand, six hundred four".