42451415424 has 288 divisors, whose sum is σ = 137919010320. Its totient is φ = 12514867200.

The previous prime is 42451415401. The next prime is 42451415449.

42451415424 is a `hidden beast` number, since 4 + 24 + 51 + 41 + 542 + 4 = 666.

42451415424 is nontrivially palindromic in base 10.

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

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 35 ways as a sum of consecutive naturals, for example, 5153389 + ... + 5161619.

Almost surely, 2^42451415424 is an apocalyptic number.

42451415424 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 42451415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68959505160).

42451415424 is an abundant number, since it is smaller than the sum of its proper divisors (95467594896).

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

42451415424 is a wasteful number, since it uses less digits than its factorization.

42451415424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8284 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The spelling of 42451415424 in words is "forty-two billion, four hundred fifty-one million, four hundred fifteen thousand, four hundred twenty-four".