42788701000 has 128 divisors (see below), whose sum is σ = 101019260160. Its totient is φ = 16963584000.

The previous prime is 42788700989. The next prime is 42788701027. The reversal of 42788701000 is 10788724.

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 31 ways as a sum of consecutive naturals, for example, 85066749 + ... + 85067251.

It is an arithmetic number, because the mean of its divisors is an integer number (789212970).

Almost surely, 2^42788701000 is an apocalyptic number.

42788701000 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 42788701000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50509630080).

42788701000 is an abundant number, since it is smaller than the sum of its proper divisors (58230559160).

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

42788701000 is a wasteful number, since it uses less digits than its factorization.

42788701000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The spelling of 42788701000 in words is "forty-two billion, seven hundred eighty-eight million, seven hundred one thousand".