42415201000000 has 196 divisors, whose sum is σ = 110745559001200. Its totient is φ = 16073121600000.

The previous prime is 42415200999947. The next prime is 42415201000021. The reversal of 42415201000000 is 10251424.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17883811 + ... + 20116189.

Almost surely, 2^{42415201000000} is an apocalyptic number.

42415201000000 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 42415201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55372779500600).

42415201000000 is an abundant number, since it is smaller than the sum of its proper divisors (68330358001200).

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

42415201000000 is an frugal number, since it uses more digits than its factorization.

42415201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232440 (or 2232405 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 42415201000000 its reverse (10251424), we get a palindrome (42415211251424).

The spelling of 42415201000000 in words is "forty-two trillion, four hundred fifteen billion, two hundred one million", and thus it is an aban number.