42979677840 has 320 divisors, whose sum is σ = 161955348480. Its totient is φ = 10389911040.

The previous prime is 42979677827. The next prime is 42979677869. The reversal of 42979677840 is 4877697924.

42979677840 is a `hidden beast` number, since 429 + 79 + 67 + 7 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9097719 + ... + 9102441.

It is an arithmetic number, because the mean of its divisors is an integer number (506110464).

Almost surely, 2^42979677840 is an apocalyptic number.

42979677840 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 42979677840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80977674240).

42979677840 is an abundant number, since it is smaller than the sum of its proper divisors (118975670640).

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

42979677840 is a wasteful number, since it uses less digits than its factorization.

42979677840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 42979677840 in words is "forty-two billion, nine hundred seventy-nine million, six hundred seventy-seven thousand, eight hundred forty".