42001103022400 has 84 divisors (see below), whose sum is σ = 108788383367680. Its totient is φ = 15916207449600.

The previous prime is 42001103022379. The next prime is 42001103022451. The reversal of 42001103022400 is 422030110024.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690777216 + ... + 690838015.

Almost surely, 2^{42001103022400} is an apocalyptic number.

42001103022400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42001103022400 is an abundant number, since it is smaller than the sum of its proper divisors (66787280345280).

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

42001103022400 is a wasteful number, since it uses less digits than its factorization.

42001103022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381615272 (or 1381615257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 42001103022400 its reverse (422030110024), we get a palindrome (42423133132424).

The spelling of 42001103022400 in words is "forty-two trillion, one billion, one hundred three million, twenty-two thousand, four hundred".