42400131100414 has 32 divisors (see below), whose sum is σ = 64292032800000. Its totient is φ = 20970782426880.

The previous prime is 42400131100307. The next prime is 42400131100417. The reversal of 42400131100414 is 41400113100424.

It is a super-2 number, since 2×42400131100414² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400131100417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111389587 + ... + 111769585.

It is an arithmetic number, because the mean of its divisors is an integer number (2009126025000).

Almost surely, 2^{42400131100414} is an apocalyptic number.

42400131100414 is a deficient number, since it is larger than the sum of its proper divisors (21891901699586).

42400131100414 is a wasteful number, since it uses less digits than its factorization.

42400131100414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381748.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 42400131100414 its reverse (41400113100424), we get a palindrome (83800244200838).

The spelling of 42400131100414 in words is "forty-two trillion, four hundred billion, one hundred thirty-one million, one hundred thousand, four hundred fourteen".