42768714240 has 960 divisors, whose sum is σ = 188901123840. Its totient is φ = 8705802240.

The previous prime is 42768714203. The next prime is 42768714281. The reversal of 42768714240 is 4241786724.

42768714240 is a `hidden beast` number, since 427 + 6 + 87 + 142 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 52093030 + ... + 52093850.

It is an arithmetic number, because the mean of its divisors is an integer number (196772004).

Almost surely, 2^42768714240 is an apocalyptic number.

42768714240 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 42768714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94450561920).

42768714240 is an abundant number, since it is smaller than the sum of its proper divisors (146132409600).

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

42768714240 is a wasteful number, since it uses less digits than its factorization.

42768714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 42768714240 in words is "forty-two billion, seven hundred sixty-eight million, seven hundred fourteen thousand, two hundred forty".