42124314313400 has 48 divisors (see below), whose sum is σ = 106842579036840. Its totient is φ = 15317932476800.

The previous prime is 42124314313379. The next prime is 42124314313409. The reversal of 42124314313400 is 431341342124.

It is a super-3 number, since 3×42124314313400³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42124314313409) 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, 9573705599 + ... + 9573709998.

Almost surely, 2^{42124314313400} is an apocalyptic number.

42124314313400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42124314313400 is an abundant number, since it is smaller than the sum of its proper divisors (64718264723440).

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

42124314313400 is a wasteful number, since it uses less digits than its factorization.

42124314313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19147415624 (or 19147415615 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 42124314313400 its reverse (431341342124), we get a palindrome (42555655655524).

The spelling of 42124314313400 in words is "forty-two trillion, one hundred twenty-four billion, three hundred fourteen million, three hundred thirteen thousand, four hundred".