42032013330400 has 144 divisors (see below), whose sum is σ = 104573318129280. Its totient is φ = 16492442355200.

The previous prime is 42032013330367. The next prime is 42032013330401. The reversal of 42032013330400 is 403331023024.

42032013330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42032013330400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032013330401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21088965 + ... + 22995835.

It is an arithmetic number, because the mean of its divisors is an integer number (726203598120).

Almost surely, 2^{42032013330400} is an apocalyptic number.

42032013330400 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 42032013330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52286659064640).

42032013330400 is an abundant number, since it is smaller than the sum of its proper divisors (62541304798880).

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

42032013330400 is a wasteful number, since it uses less digits than its factorization.

42032013330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907417 (or 1907404 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 42032013330400 its reverse (403331023024), we get a palindrome (42435344353424).

The spelling of 42032013330400 in words is "forty-two trillion, thirty-two billion, thirteen million, three hundred thirty thousand, four hundred".