404212612608 has 1200 divisors, whose sum is σ = 1532483053200. Its totient is φ = 105638141952.

The previous prime is 404212612603. The next prime is 404212612613. The reversal of 404212612608 is 806216212404.

404212612608 is a `hidden beast` number, since 4 + 0 + 4 + 21 + 26 + 1 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (404212612603) and next prime (404212612613).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404212612603) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13938365938 + ... + 13938365966.

It is an arithmetic number, because the mean of its divisors is an integer number (1277069211).

Almost surely, 2^404212612608 is an apocalyptic number.

404212612608 is a gapful number since it is divisible by the number (48) 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 404212612608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766241526600).

404212612608 is an abundant number, since it is smaller than the sum of its proper divisors (1128270440592).

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

404212612608 is an frugal number, since it uses more digits than its factorization.

404212612608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 404212612608 in words is "four hundred four billion, two hundred twelve million, six hundred twelve thousand, six hundred eight".