400214434201101 has 64 divisors (see below), whose sum is σ = 655194808074240. Its totient is φ = 239903283453120.

The previous prime is 400214434201061. The next prime is 400214434201121. The reversal of 400214434201101 is 101102434412004.

400214434201101 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 1 + 443 + 4 + 201 + 10 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-400214434201101 is a prime.

It is a super-2 number, since 2×400214434201101² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400214434201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54006885 + ... + 60968618.

It is an arithmetic number, because the mean of its divisors is an integer number (10237418876160).

Almost surely, 2^{400214434201101} is an apocalyptic number.

It is an amenable number.

400214434201101 is a deficient number, since it is larger than the sum of its proper divisors (254980373873139).

400214434201101 is a wasteful number, since it uses less digits than its factorization.

400214434201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114975783 (or 114975777 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 400214434201101 its reverse (101102434412004), we get a palindrome (501316868613105).

The spelling of 400214434201101 in words is "four hundred trillion, two hundred fourteen billion, four hundred thirty-four million, two hundred one thousand, one hundred one".