42748590456 has 480 divisors, whose sum is σ = 150132240720. Its totient is φ = 11249694720.

The previous prime is 42748590431. The next prime is 42748590457. The reversal of 42748590456 is 65409584724.

42748590456 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 8 + 590 + 45 + 6 = 666.

42748590456 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42748590457) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17326935 + ... + 17329401.

Almost surely, 2^42748590456 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 42748590456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75066120360).

42748590456 is an abundant number, since it is smaller than the sum of its proper divisors (107383650264).

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

42748590456 is a wasteful number, since it uses less digits than its factorization.

42748590456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 42748590456 in words is "forty-two billion, seven hundred forty-eight million, five hundred ninety thousand, four hundred fifty-six".