406400611640 has 128 divisors (see below), whose sum is σ = 956792088000. Its totient is φ = 155218022400.

The previous prime is 406400611637. The next prime is 406400611651. The reversal of 406400611640 is 46116004604.

It is a super-2 number, since 2×406400611640² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406400611597 and 406400611606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22148870 + ... + 22167210.

Almost surely, 2^406400611640 is an apocalyptic number.

406400611640 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 406400611640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478396044000).

406400611640 is an abundant number, since it is smaller than the sum of its proper divisors (550391476360).

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

406400611640 is a wasteful number, since it uses less digits than its factorization.

406400611640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18681 (or 18677 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 406400611640 in words is "four hundred six billion, four hundred million, six hundred eleven thousand, six hundred forty".