42870746880 has 720 divisors, whose sum is σ = 175010419584. Its totient is φ = 9926737920.

The previous prime is 42870746879. The next prime is 42870746899. The reversal of 42870746880 is 8864707824.

It is a happy number.

42870746880 is a `hidden beast` number, since 428 + 70 + 74 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 22912345 + ... + 22914215.

Almost surely, 2^42870746880 is an apocalyptic number.

42870746880 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 42870746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87505209792).

42870746880 is an abundant number, since it is smaller than the sum of its proper divisors (132139672704).

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

42870746880 is a wasteful number, since it uses less digits than its factorization.

42870746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 42870746880 in words is "forty-two billion, eight hundred seventy million, seven hundred forty-six thousand, eight hundred eighty".