42400214340 has 384 divisors, whose sum is σ = 140237733888. Its totient is φ = 9468433920.

The previous prime is 42400214323. The next prime is 42400214347. The reversal of 42400214340 is 4341200424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42400214340.

It is not an unprimeable number, because it can be changed into a prime (42400214347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47801377 + ... + 47802263.

It is an arithmetic number, because the mean of its divisors is an integer number (365202432).

Almost surely, 2^42400214340 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 42400214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70118866944).

42400214340 is an abundant number, since it is smaller than the sum of its proper divisors (97837519548).

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

42400214340 is a wasteful number, since it uses less digits than its factorization.

42400214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42400214340 its reverse (4341200424), we get a palindrome (46741414764).

The spelling of 42400214340 in words is "forty-two billion, four hundred million, two hundred fourteen thousand, three hundred forty".