42458978100 has 144 divisors (see below), whose sum is σ = 153161197056. Its totient is φ = 8822640000.

The previous prime is 42458978059. The next prime is 42458978129. The reversal of 42458978100 is 187985424.

It is a happy number.

It is a super-2 number, since 2×42458978100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42458978100.

It is a congruent number.

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, 895926 + ... + 942125.

It is an arithmetic number, because the mean of its divisors is an integer number (1063619424).

Almost surely, 2^42458978100 is an apocalyptic number.

It is an amenable number.

42458978100 is an abundant number, since it is smaller than the sum of its proper divisors (110702218956).

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

42458978100 is a wasteful number, since it uses less digits than its factorization.

42458978100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838086 (or 1838079 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 42458978100 in words is "forty-two billion, four hundred fifty-eight million, nine hundred seventy-eight thousand, one hundred".