400201641 has 40 divisors (see below), whose sum is σ = 723444480. Its totient is φ = 215229312.

The previous prime is 400201631. The next prime is 400201687. The reversal of 400201641 is 146102004.

400201641 is a `hidden beast` number, since 4 + 0 + 0 + 20 + 1 + 641 = 666.

It is not a de Polignac number, because 400201641 - 2¹⁰ = 400200617 is a prime.

It is a super-2 number, since 2×400201641² = 320322706918185762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400201631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11121 + ... + 30398.

It is an arithmetic number, because the mean of its divisors is an integer number (18086112).

Almost surely, 2^400201641 is an apocalyptic number.

It is an amenable number.

400201641 is a deficient number, since it is larger than the sum of its proper divisors (323242839).

400201641 is a wasteful number, since it uses less digits than its factorization.

400201641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41555 (or 41546 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400201641 is about 20005.0403898618. The cubic root of 400201641 is about 736.9300875624.

Adding to 400201641 its reverse (146102004), we get a palindrome (546303645).

The spelling of 400201641 in words is "four hundred million, two hundred one thousand, six hundred forty-one".