402144412032 has 384 divisors, whose sum is σ = 1280982193920. Its totient is φ = 120083558400.

The previous prime is 402144412031. The next prime is 402144412063. The reversal of 402144412032 is 230214441204.

402144412032 is a `hidden beast` number, since 4 + 0 + 2 + 14 + 441 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 402144411987 and 402144412005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402144412031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260624253 + ... + 260625795.

It is an arithmetic number, because the mean of its divisors is an integer number (3335891130).

Almost surely, 2^402144412032 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 402144412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640491096960).

402144412032 is an abundant number, since it is smaller than the sum of its proper divisors (878837781888).

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

402144412032 is a wasteful number, since it uses less digits than its factorization.

402144412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 402144412032 its reverse (230214441204), we get a palindrome (632358853236).

The spelling of 402144412032 in words is "four hundred two billion, one hundred forty-four million, four hundred twelve thousand, thirty-two".