42776979840 has 192 divisors, whose sum is σ = 168816454560. Its totient is φ = 9777586176.

The previous prime is 42776979821. The next prime is 42776979841. The reversal of 42776979840 is 4897967724.

42776979840 is a `hidden beast` number, since 427 + 7 + 69 + 79 + 84 + 0 = 666.

42776979840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42776979841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490149 + ... + 570788.

Almost surely, 2^42776979840 is an apocalyptic number.

42776979840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42776979840 is an abundant number, since it is smaller than the sum of its proper divisors (126039474720).

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

42776979840 is a wasteful number, since it uses less digits than its factorization.

42776979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060969 (or 1060954 counting only the distinct ones).

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

The spelling of 42776979840 in words is "forty-two billion, seven hundred seventy-six million, nine hundred seventy-nine thousand, eight hundred forty".