42014413100 has 144 divisors (see below), whose sum is σ = 105124521600. Its totient is φ = 14414400000.

The previous prime is 42014413097. The next prime is 42014413117. The reversal of 42014413100 is 131441024.

It is a super-2 number, since 2×42014413100² (a number of 22 digits) contains 22 as substring.

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

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, 5241896 + ... + 5249904.

It is an arithmetic number, because the mean of its divisors is an integer number (730031400).

Almost surely, 2^42014413100 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 42014413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52562260800).

42014413100 is an abundant number, since it is smaller than the sum of its proper divisors (63110108500).

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

42014413100 is a wasteful number, since it uses less digits than its factorization.

42014413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8297 counting only the distinct ones).

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

Adding to 42014413100 its reverse (131441024), we get a palindrome (42145854124).

The spelling of 42014413100 in words is "forty-two billion, fourteen million, four hundred thirteen thousand, one hundred".