42100014000 has 480 divisors, whose sum is σ = 150907341312. Its totient is φ = 10089024000.

The previous prime is 42100013929. The next prime is 42100014007. The reversal of 42100014000 is 41000124.

It is a super-2 number, since 2×42100014000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (42100014007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74777719 + ... + 74778281.

Almost surely, 2^42100014000 is an apocalyptic number.

42100014000 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 42100014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75453670656).

42100014000 is an abundant number, since it is smaller than the sum of its proper divisors (108807327312).

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

42100014000 is a wasteful number, since it uses less digits than its factorization.

42100014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 42100014000 its reverse (41000124), we get a palindrome (42141014124).

The spelling of 42100014000 in words is "forty-two billion, one hundred million, fourteen thousand".