42121014000 has 320 divisors, whose sum is σ = 146803937280. Its totient is φ = 10328601600.

The previous prime is 42121013927. The next prime is 42121014029. The reversal of 42121014000 is 41012124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23945121 + ... + 23946879.

It is an arithmetic number, because the mean of its divisors is an integer number (458762304).

Almost surely, 2^42121014000 is an apocalyptic number.

42121014000 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 42121014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73401968640).

42121014000 is an abundant number, since it is smaller than the sum of its proper divisors (104682923280).

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

42121014000 is a wasteful number, since it uses less digits than its factorization.

42121014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 42121014000 its reverse (41012124), we get a palindrome (42162026124).

The spelling of 42121014000 in words is "forty-two billion, one hundred twenty-one million, fourteen thousand".