42010422432000 has 576 divisors, whose sum is σ = 152311777083648. Its totient is φ = 10178396160000.

The previous prime is 42010422431969. The next prime is 42010422432031. The reversal of 42010422432000 is 23422401024.

It is an interprime number because it is at equal distance from previous prime (42010422431969) and next prime (42010422432031).

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 63 ways as a sum of consecutive naturals, for example, 1965205312 + ... + 1965226688.

It is an arithmetic number, because the mean of its divisors is an integer number (264430168548).

Almost surely, 2^{42010422432000} is an apocalyptic number.

42010422432000 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 42010422432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76155888541824).

42010422432000 is an abundant number, since it is smaller than the sum of its proper divisors (110301354651648).

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

42010422432000 is a wasteful number, since it uses less digits than its factorization.

42010422432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23283 (or 23259 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42010422432000 its reverse (23422401024), we get a palindrome (42033844833024).

The spelling of 42010422432000 in words is "forty-two trillion, ten billion, four hundred twenty-two million, four hundred thirty-two thousand".