42867095040 has 960 divisors, whose sum is σ = 188196383232. Its totient is φ = 8758886400.

The previous prime is 42867095021. The next prime is 42867095057. The reversal of 42867095040 is 4059076824.

It is a happy number.

42867095040 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 (960).

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

It is a congruent number.

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, 129507675 + ... + 129508005.

Almost surely, 2^42867095040 is an apocalyptic number.

42867095040 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 42867095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94098191616).

42867095040 is an abundant number, since it is smaller than the sum of its proper divisors (145329288192).

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

42867095040 is a wasteful number, since it uses less digits than its factorization.

42867095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42867095040 in words is "forty-two billion, eight hundred sixty-seven million, ninety-five thousand, forty".