42004033400 has 96 divisors (see below), whose sum is σ = 117485040000. Its totient is φ = 13643406720.

The previous prime is 42004033373. The next prime is 42004033403. The reversal of 42004033400 is 433040024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004033403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762950 + ... + 816149.

It is an arithmetic number, because the mean of its divisors is an integer number (1223802500).

Almost surely, 2^42004033400 is an apocalyptic number.

42004033400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004033400 is an abundant number, since it is smaller than the sum of its proper divisors (75481006600).

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

42004033400 is a wasteful number, since it uses less digits than its factorization.

42004033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579141 (or 1579132 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 42004033400 its reverse (433040024), we get a palindrome (42437073424).

The spelling of 42004033400 in words is "forty-two billion, four million, thirty-three thousand, four hundred".