42497437211424 has 288 divisors, whose sum is σ = 130993307827200. Its totient is φ = 12991417528320.

The previous prime is 42497437211423. The next prime is 42497437211507. The reversal of 42497437211424 is 42411273479424.

42497437211424 is a `hidden beast` number, since 4 + 2 + 4 + 97 + 437 + 2 + 114 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42497437211424² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42497437211423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578482407 + ... + 578555865.

It is an arithmetic number, because the mean of its divisors is an integer number (454837874400).

Almost surely, 2^{42497437211424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42497437211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65496653913600).

42497437211424 is an abundant number, since it is smaller than the sum of its proper divisors (88495870615776).

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

42497437211424 is a wasteful number, since it uses less digits than its factorization.

42497437211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74488 (or 74477 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 42497437211424 in words is "forty-two trillion, four hundred ninety-seven billion, four hundred thirty-seven million, two hundred eleven thousand, four hundred twenty-four".