42869374648320 has 1088 divisors, whose sum is σ = 153908576160768. Its totient is φ = 10100932608000.

The previous prime is 42869374648307. The next prime is 42869374648391. The reversal of 42869374648320 is 2384647396824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 75077713635 + ... + 75077714205.

Almost surely, 2^{42869374648320} is an apocalyptic number.

42869374648320 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 42869374648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76954288080384).

42869374648320 is an abundant number, since it is smaller than the sum of its proper divisors (111039201512448).

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

42869374648320 is a wasteful number, since it uses less digits than its factorization.

42869374648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 66.

The spelling of 42869374648320 in words is "forty-two trillion, eight hundred sixty-nine billion, three hundred seventy-four million, six hundred forty-eight thousand, three hundred twenty".