42190357440 has 896 divisors, whose sum is σ = 173493135360. Its totient is φ = 8504770560.

The previous prime is 42190357439. The next prime is 42190357481. The reversal of 42190357440 is 4475309124.

42190357440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 474048916 + ... + 474049004.

Almost surely, 2^42190357440 is an apocalyptic number.

42190357440 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 42190357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86746567680).

42190357440 is an abundant number, since it is smaller than the sum of its proper divisors (131302777920).

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

42190357440 is a wasteful number, since it uses less digits than its factorization.

42190357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 42190357440 in words is "forty-two billion, one hundred ninety million, three hundred fifty-seven thousand, four hundred forty".