42551518464000 has 3456 divisors, whose sum is σ = 195102373939200. Its totient is φ = 8840105164800.

The previous prime is 42551518463947. The next prime is 42551518464061. The reversal of 42551518464000 is 46481515524.

42551518464000 is a `hidden beast` number, since 4 + 2 + 5 + 51 + 518 + 46 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 115944191817 + ... + 115944192183.

It is an arithmetic number, because the mean of its divisors is an integer number (56453233200).

Almost surely, 2^{42551518464000} is an apocalyptic number.

42551518464000 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 42551518464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97551186969600).

42551518464000 is an abundant number, since it is smaller than the sum of its proper divisors (152550855475200).

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

42551518464000 is a wasteful number, since it uses less digits than its factorization.

42551518464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

Adding to 42551518464000 its reverse (46481515524), we get a palindrome (42597999979524).

The spelling of 42551518464000 in words is "forty-two trillion, five hundred fifty-one billion, five hundred eighteen million, four hundred sixty-four thousand".