42788571840 has 672 divisors, whose sum is σ = 176793753600. Its totient is φ = 9713571840.

The previous prime is 42788571803. The next prime is 42788571853. The reversal of 42788571840 is 4817588724.

42788571840 is a `hidden beast` number, since 4 + 27 + 8 + 8 + 571 + 8 + 40 = 666.

42788571840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89328721 + ... + 89329199.

Almost surely, 2^42788571840 is an apocalyptic number.

42788571840 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 42788571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88396876800).

42788571840 is an abundant number, since it is smaller than the sum of its proper divisors (134005181760).

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

42788571840 is a wasteful number, since it uses less digits than its factorization.

42788571840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 42788571840 in words is "forty-two billion, seven hundred eighty-eight million, five hundred seventy-one thousand, eight hundred forty".