42334124201424 has 480 divisors, whose sum is σ = 134248907520000. Its totient is φ = 12335794222080.

The previous prime is 42334124201419. The next prime is 42334124201489. The reversal of 42334124201424 is 42410242143324.

42334124201424 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 4 + 1 + 24 + 201 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20762198197 + ... + 20762200235.

It is an arithmetic number, because the mean of its divisors is an integer number (279685224000).

Almost surely, 2^{42334124201424} is an apocalyptic number.

42334124201424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42334124201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67124453760000).

42334124201424 is an abundant number, since it is smaller than the sum of its proper divisors (91914783318576).

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

42334124201424 is a wasteful number, since it uses less digits than its factorization.

42334124201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 42334124201424 its reverse (42410242143324), we get a palindrome (84744366344748).

The spelling of 42334124201424 in words is "forty-two trillion, three hundred thirty-four billion, one hundred twenty-four million, two hundred one thousand, four hundred twenty-four".