42032042211120 has 320 divisors, whose sum is σ = 140681344151040. Its totient is φ = 10319897124864.

The previous prime is 42032042211037. The next prime is 42032042211161. The reversal of 42032042211120 is 2111224023024.

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, 7213321647 + ... + 7213327473.

It is an arithmetic number, because the mean of its divisors is an integer number (439629200472).

Almost surely, 2^{42032042211120} is an apocalyptic number.

42032042211120 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 42032042211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70340672075520).

42032042211120 is an abundant number, since it is smaller than the sum of its proper divisors (98649301939920).

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

42032042211120 is a wasteful number, since it uses less digits than its factorization.

42032042211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11372 (or 11366 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42032042211120 its reverse (2111224023024), we get a palindrome (44143266234144).

The spelling of 42032042211120 in words is "forty-two trillion, thirty-two billion, forty-two million, two hundred eleven thousand, one hundred twenty".