42134454720 has 896 divisors, whose sum is σ = 164796825600. Its totient is φ = 10095611904.

The previous prime is 42134454679. The next prime is 42134454721. The reversal of 42134454720 is 2745443124.

42134454720 is a `hidden beast` number, since 4 + 2 + 134 + 454 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134454721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 331767297 + ... + 331767423.

Almost surely, 2^42134454720 is an apocalyptic number.

42134454720 is a gapful number since it is divisible by the number (40) 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 42134454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82398412800).

42134454720 is an abundant number, since it is smaller than the sum of its proper divisors (122662370880).

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

42134454720 is a wasteful number, since it uses less digits than its factorization.

42134454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 42134454720 its reverse (2745443124), we get a palindrome (44879897844).

The spelling of 42134454720 in words is "forty-two billion, one hundred thirty-four million, four hundred fifty-four thousand, seven hundred twenty".