406614138240 has 256 divisors, whose sum is σ = 1385657694720. Its totient is φ = 101060542464.

The previous prime is 406614138187. The next prime is 406614138253. The reversal of 406614138240 is 42831416604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3301447 + ... + 3422393.

It is an arithmetic number, because the mean of its divisors is an integer number (5412725370).

Almost surely, 2^406614138240 is an apocalyptic number.

406614138240 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 406614138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692828847360).

406614138240 is an abundant number, since it is smaller than the sum of its proper divisors (979043556480).

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

406614138240 is a wasteful number, since it uses less digits than its factorization.

406614138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121089 (or 121077 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 406614138240 in words is "four hundred six billion, six hundred fourteen million, one hundred thirty-eight thousand, two hundred forty".