405640064140 has 192 divisors, whose sum is σ = 921407477760. Its totient is φ = 149551073280.

The previous prime is 405640064041. The next prime is 405640064171. The reversal of 405640064140 is 41460046504.

It is a junction number, because it is equal to n+sod(n) for n = 405640064096 and 405640064105.

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, 887614792 + ... + 887615248.

It is an arithmetic number, because the mean of its divisors is an integer number (4798997280).

Almost surely, 2^405640064140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405640064140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460703738880).

405640064140 is an abundant number, since it is smaller than the sum of its proper divisors (515767413620).

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

405640064140 is a wasteful number, since it uses less digits than its factorization.

405640064140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 405640064140 in words is "four hundred five billion, six hundred forty million, sixty-four thousand, one hundred forty".