406681612512 has 384 divisors, whose sum is σ = 1257155665920. Its totient is φ = 112733337600.

The previous prime is 406681612501. The next prime is 406681612523. The reversal of 406681612512 is 215216186604.

It is an interprime number because it is at equal distance from previous prime (406681612501) and next prime (406681612523).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 918016963 + ... + 918017405.

It is an arithmetic number, because the mean of its divisors is an integer number (3273842880).

Almost surely, 2^406681612512 is an apocalyptic number.

406681612512 is a gapful number since it is divisible by the number (42) 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 406681612512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628577832960).

406681612512 is an abundant number, since it is smaller than the sum of its proper divisors (850474053408).

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

406681612512 is a wasteful number, since it uses less digits than its factorization.

406681612512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 406681612512 in words is "four hundred six billion, six hundred eighty-one million, six hundred twelve thousand, five hundred twelve".