42812951485440 has 704 divisors, whose sum is σ = 144563754101760. Its totient is φ = 10813292216320.

The previous prime is 42812951485399. The next prime is 42812951485459. The reversal of 42812951485440 is 4458415921824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19996706770 + ... + 19996708910.

Almost surely, 2^{42812951485440} is an apocalyptic number.

42812951485440 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 42812951485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72281877050880).

42812951485440 is an abundant number, since it is smaller than the sum of its proper divisors (101750802616320).

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

42812951485440 is a wasteful number, since it uses less digits than its factorization.

42812951485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 57.

The spelling of 42812951485440 in words is "forty-two trillion, eight hundred twelve billion, nine hundred fifty-one million, four hundred eighty-five thousand, four hundred forty".