42030002342400 has 480 divisors, whose sum is σ = 143705404497600. Its totient is φ = 10815927091200.

The previous prime is 42030002342381. The next prime is 42030002342501. The reversal of 42030002342400 is 424320003024.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2426525740 + ... + 2426543060.

It is an arithmetic number, because the mean of its divisors is an integer number (299386259370).

Almost surely, 2^{42030002342400} is an apocalyptic number.

42030002342400 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 42030002342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71852702248800).

42030002342400 is an abundant number, since it is smaller than the sum of its proper divisors (101675402155200).

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

42030002342400 is a wasteful number, since it uses less digits than its factorization.

42030002342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19560 (or 19539 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42030002342400 its reverse (424320003024), we get a palindrome (42454322345424).

The spelling of 42030002342400 in words is "forty-two trillion, thirty billion, two million, three hundred forty-two thousand, four hundred".