42438200956 has 48 divisors (see below), whose sum is σ = 81627759360. Its totient is φ = 19215757440.

The previous prime is 42438200951. The next prime is 42438200957. The reversal of 42438200956 is 65900283424.

42438200956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42438200951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3001255 + ... + 3015361.

It is an arithmetic number, because the mean of its divisors is an integer number (1700578320).

Almost surely, 2^42438200956 is an apocalyptic number.

42438200956 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42438200956 is a deficient number, since it is larger than the sum of its proper divisors (39189558404).

42438200956 is a wasteful number, since it uses less digits than its factorization.

42438200956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15874 (or 15872 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 42438200956 in words is "forty-two billion, four hundred thirty-eight million, two hundred thousand, nine hundred fifty-six".