401214132 has 72 divisors (see below), whose sum is σ = 1121615040. Its totient is φ = 119905920.

The previous prime is 401214131. The next prime is 401214167. The reversal of 401214132 is 231412104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401214131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21969 + ... + 35847.

Almost surely, 2^401214132 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 401214132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560807520).

401214132 is an abundant number, since it is smaller than the sum of its proper divisors (720400908).

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

401214132 is a wasteful number, since it uses less digits than its factorization.

401214132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13973 (or 13968 counting only the distinct ones).

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

The square root of 401214132 is about 20030.3303018198. The cubic root of 401214132 is about 737.5510301566.

Adding to 401214132 its reverse (231412104), we get a palindrome (632626236).

It can be divided in two parts, 40121 and 4132, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 401214132 in words is "four hundred one million, two hundred fourteen thousand, one hundred thirty-two".