414132432021 has 128 divisors (see below), whose sum is σ = 790436966400. Its totient is φ = 208028839680.

The previous prime is 414132432019. The next prime is 414132432023. The reversal of 414132432021 is 120234231414.

414132432021 is a `hidden beast` number, since 4 + 1 + 413 + 2 + 43 + 202 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (414132432019) and next prime (414132432023).

It is not a de Polignac number, because 414132432021 - 2¹ = 414132432019 is a prime.

It is a super-2 number, since 2×414132432021² (a number of 24 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 (414132432023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12521935 + ... + 12554963.

It is an arithmetic number, because the mean of its divisors is an integer number (6175288800).

Almost surely, 2^414132432021 is an apocalyptic number.

It is an amenable number.

414132432021 is a deficient number, since it is larger than the sum of its proper divisors (376304534379).

414132432021 is a wasteful number, since it uses less digits than its factorization.

414132432021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33256 (or 33250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414132432021 its reverse (120234231414), we get a palindrome (534366663435).

The spelling of 414132432021 in words is "four hundred fourteen billion, one hundred thirty-two million, four hundred thirty-two thousand, twenty-one".