42410232402400 has 72 divisors (see below), whose sum is σ = 104070425722704. Its totient is φ = 16876196044800.

The previous prime is 42410232402371. The next prime is 42410232402407. The reversal of 42410232402400 is 420423201424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42410232402407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137184436 + ... + 137493235.

It is an arithmetic number, because the mean of its divisors is an integer number (1445422579482).

Almost surely, 2^{42410232402400} is an apocalyptic number.

42410232402400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42410232402400 is an abundant number, since it is smaller than the sum of its proper divisors (61660193320304).

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

42410232402400 is a wasteful number, since it uses less digits than its factorization.

42410232402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274677884 (or 274677871 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42410232402400 its reverse (420423201424), we get a palindrome (42830655603824).

The spelling of 42410232402400 in words is "forty-two trillion, four hundred ten billion, two hundred thirty-two million, four hundred two thousand, four hundred".