42676951040 has 192 divisors, whose sum is σ = 106340532480. Its totient is φ = 16420700160.

The previous prime is 42676951021. The next prime is 42676951043. The reversal of 42676951040 is 4015967624.

42676951040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42676950982 and 42676951000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42676951043) 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, 73963232 + ... + 73963808.

It is an arithmetic number, because the mean of its divisors is an integer number (553856940).

Almost surely, 2^42676951040 is an apocalyptic number.

42676951040 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 42676951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53170266240).

42676951040 is an abundant number, since it is smaller than the sum of its proper divisors (63663581440).

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

42676951040 is a wasteful number, since it uses less digits than its factorization.

42676951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 42676951040 in words is "forty-two billion, six hundred seventy-six million, nine hundred fifty-one thousand, forty".