42451718400 has 1458 divisors, whose sum is σ = 193327841070. Its totient is φ = 8856207360.

The previous prime is 42451718383. The next prime is 42451718431. The reversal of 42451718400 is 481715424.

It is a happy number.

42451718400 is a `hidden beast` number, since 4 + 245 + 1 + 7 + 1 + 8 + 400 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 33409990656 + 9041727744 = 182784^2 + 95088^2 .

It is a super-2 number, since 2×42451718400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 476985556 + ... + 476985644.

Almost surely, 2^42451718400 is an apocalyptic number.

42451718400 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 42451718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96663920535).

42451718400 is an abundant number, since it is smaller than the sum of its proper divisors (150876122670).

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

42451718400 is a wasteful number, since it uses less digits than its factorization.

42451718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 42451718400 in words is "forty-two billion, four hundred fifty-one million, seven hundred eighteen thousand, four hundred".