42813481471488 has 800 divisors, whose sum is σ = 158478681715200. Its totient is φ = 11205143838720.

The previous prime is 42813481471457. The next prime is 42813481471513. The reversal of 42813481471488 is 88417418431824.

42813481471488 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 3 + 4 + 8 + 147 + 1 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 79 ways as a sum of consecutive naturals, for example, 494344413 + ... + 494431011.

It is an arithmetic number, because the mean of its divisors is an integer number (198098352144).

Almost surely, 2^{42813481471488} is an apocalyptic number.

42813481471488 is a gapful number since it is divisible by the number (48) 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 42813481471488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79239340857600).

42813481471488 is an abundant number, since it is smaller than the sum of its proper divisors (115665200243712).

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

42813481471488 is a wasteful number, since it uses less digits than its factorization.

42813481471488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86780 (or 86755 counting only the distinct ones).

The product of its digits is 44040192, while the sum is 63.

The spelling of 42813481471488 in words is "forty-two trillion, eight hundred thirteen billion, four hundred eighty-one million, four hundred seventy-one thousand, four hundred eighty-eight".