401806309536 has 384 divisors, whose sum is σ = 1264593254400. Its totient is φ = 123832074240.

The previous prime is 401806309483. The next prime is 401806309559. The reversal of 401806309536 is 635903608104.

401806309536 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 0 + 630 + 9 + 5 + 3 + 6 = 666.

It is a super-2 number, since 2×401806309536² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401806309491 and 401806309500.

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, 75340726 + ... + 75346058.

It is an arithmetic number, because the mean of its divisors is an integer number (3293211600).

Almost surely, 2^401806309536 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 401806309536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632296627200).

401806309536 is an abundant number, since it is smaller than the sum of its proper divisors (862786944864).

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

401806309536 is a wasteful number, since it uses less digits than its factorization.

401806309536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 401806309536 in words is "four hundred one billion, eight hundred six million, three hundred nine thousand, five hundred thirty-six".