406000012736640 has 1024 divisors, whose sum is σ = 1525382255738880. Its totient is φ = 89922709094400.

The previous prime is 406000012736629. The next prime is 406000012736641. The reversal of 406000012736640 is 46637210000604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (406000012736641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49566594945 + ... + 49566603135.

It is an arithmetic number, because the mean of its divisors is an integer number (1489631109120).

Almost surely, 2^{406000012736640} is an apocalyptic number.

406000012736640 is a gapful number since it is divisible by the number (40) 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 406000012736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762691127869440).

406000012736640 is an abundant number, since it is smaller than the sum of its proper divisors (1119382243002240).

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

406000012736640 is a wasteful number, since it uses less digits than its factorization.

406000012736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 406000012736640 in words is "four hundred six trillion, twelve million, seven hundred thirty-six thousand, six hundred forty".