402014144340 has 144 divisors (see below), whose sum is σ = 1226399009472. Its totient is φ = 106593489408.

The previous prime is 402014144309. The next prime is 402014144341. The reversal of 402014144340 is 43441410204.

402014144340 is a `hidden beast` number, since 4 + 0 + 201 + 414 + 4 + 3 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402014144341) 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, 33785272 + ... + 33797168.

It is an arithmetic number, because the mean of its divisors is an integer number (8516659788).

Almost surely, 2^402014144340 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 402014144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613199504736).

402014144340 is an abundant number, since it is smaller than the sum of its proper divisors (824384865132).

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

402014144340 is a wasteful number, since it uses less digits than its factorization.

402014144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12966 (or 12961 counting only the distinct ones).

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

Adding to 402014144340 its reverse (43441410204), we get a palindrome (445455554544).

The spelling of 402014144340 in words is "four hundred two billion, fourteen million, one hundred forty-four thousand, three hundred forty".