42014030400 has 336 divisors, whose sum is σ = 153753393280. Its totient is φ = 11160115200.

The previous prime is 42014030389. The next prime is 42014030411. The reversal of 42014030400 is 403041024.

It is an interprime number because it is at equal distance from previous prime (42014030389) and next prime (42014030411).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11964645 + ... + 11968155.

Almost surely, 2^42014030400 is an apocalyptic number.

42014030400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42014030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76876696640).

42014030400 is an abundant number, since it is smaller than the sum of its proper divisors (111739362880).

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

42014030400 is a wasteful number, since it uses less digits than its factorization.

42014030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42014030400 its reverse (403041024), we get a palindrome (42417071424).

The spelling of 42014030400 in words is "forty-two billion, fourteen million, thirty thousand, four hundred".