42295357440 has 832 divisors, whose sum is σ = 176139264000. Its totient is φ = 9624158208.

The previous prime is 42295357411. The next prime is 42295357457. The reversal of 42295357440 is 4475359224.

42295357440 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 535 + 74 + 40 = 666.

42295357440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 189665169 + ... + 189665391.

Almost surely, 2^42295357440 is an apocalyptic number.

42295357440 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 42295357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88069632000).

42295357440 is an abundant number, since it is smaller than the sum of its proper divisors (133843906560).

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

42295357440 is an equidigital number, since it uses as much as digits as its factorization.

42295357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 42295357440 in words is "forty-two billion, two hundred ninety-five million, three hundred fifty-seven thousand, four hundred forty".