406123321604 has 96 divisors (see below), whose sum is σ = 954575870976. Its totient is φ = 146008126080.

The previous prime is 406123321589. The next prime is 406123321619.

406123321604 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (406123321589) and next prime (406123321619).

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, 12808979 + ... + 12840645.

It is an arithmetic number, because the mean of its divisors is an integer number (9943498656).

Almost surely, 2^406123321604 is an apocalyptic number.

406123321604 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 406123321604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477287935488).

406123321604 is an abundant number, since it is smaller than the sum of its proper divisors (548452549372).

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

406123321604 is a wasteful number, since it uses less digits than its factorization.

406123321604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34905 (or 34903 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 406123 and 321604, that added together give a palindrome (727727).

The spelling of 406123321604 in words is "four hundred six billion, one hundred twenty-three million, three hundred twenty-one thousand, six hundred four".