42111430000400 has 240 divisors, whose sum is σ = 108740713541760. Its totient is φ = 15614901657600.

The previous prime is 42111430000399. The next prime is 42111430000429. The reversal of 42111430000400 is 400003411124.

42111430000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 491930402 + ... + 492015998.

It is an arithmetic number, because the mean of its divisors is an integer number (453086306424).

Almost surely, 2^{42111430000400} is an apocalyptic number.

42111430000400 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 42111430000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54370356770880).

42111430000400 is an abundant number, since it is smaller than the sum of its proper divisors (66629283541360).

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

42111430000400 is a wasteful number, since it uses less digits than its factorization.

42111430000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86722 (or 86711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42111430000400 its reverse (400003411124), we get a palindrome (42511433411524).

The spelling of 42111430000400 in words is "forty-two trillion, one hundred eleven billion, four hundred thirty million, four hundred", and thus it is an aban number.