42490497456 has 240 divisors, whose sum is σ = 134406501600. Its totient is φ = 12842565120.

The previous prime is 42490497437. The next prime is 42490497509. The reversal of 42490497456 is 65479409424.

42490497456 is a `hidden beast` number, since 4 + 24 + 90 + 497 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26605650 + ... + 26607246.

It is an arithmetic number, because the mean of its divisors is an integer number (560027090).

Almost surely, 2^42490497456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42490497456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67203250800).

42490497456 is an abundant number, since it is smaller than the sum of its proper divisors (91916004144).

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

42490497456 is a wasteful number, since it uses less digits than its factorization.

42490497456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 42490497456 in words is "forty-two billion, four hundred ninety million, four hundred ninety-seven thousand, four hundred fifty-six".