42042302400 has 168 divisors, whose sum is σ = 157638739840. Its totient is φ = 9609661440.

The previous prime is 42042302399. The next prime is 42042302411. The reversal of 42042302400 is 420324024.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 592030 + ... + 659229.

Almost surely, 2^42042302400 is an apocalyptic number.

42042302400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042302400 is an abundant number, since it is smaller than the sum of its proper divisors (115596437440).

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

42042302400 is a wasteful number, since it uses less digits than its factorization.

42042302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251291 (or 1251276 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42042302400 its reverse (420324024), we get a palindrome (42462626424).

The spelling of 42042302400 in words is "forty-two billion, forty-two million, three hundred two thousand, four hundred".