401566412700 has 144 divisors (see below), whose sum is σ = 1291369534560. Its totient is φ = 107050544640.

The previous prime is 401566412677. The next prime is 401566412711. The reversal of 401566412700 is 7214665104.

401566412700 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 6 + 641 + 2 + 7 + 0 + 0 = 666.

It is a super-2 number, since 2×401566412700² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9193312 + ... + 9236888.

It is an arithmetic number, because the mean of its divisors is an integer number (8967843990).

Almost surely, 2^401566412700 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 401566412700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645684767280).

401566412700 is an abundant number, since it is smaller than the sum of its proper divisors (889803121860).

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

401566412700 is a wasteful number, since it uses less digits than its factorization.

401566412700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47013 (or 47000 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 401566412700 in words is "four hundred one billion, five hundred sixty-six million, four hundred twelve thousand, seven hundred".