42913761264 has 480 divisors, whose sum is σ = 139559067648. Its totient is φ = 12294374400.

The previous prime is 42913761217. The next prime is 42913761269. The reversal of 42913761264 is 46216731924.

42913761264 is a `hidden beast` number, since 4 + 29 + 1 + 3 + 7 + 612 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42913761269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337903569 + ... + 337903695.

Almost surely, 2^42913761264 is an apocalyptic number.

42913761264 is a gapful number since it is divisible by the number (44) 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 42913761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69779533824).

42913761264 is an abundant number, since it is smaller than the sum of its proper divisors (96645306384).

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

42913761264 is a wasteful number, since it uses less digits than its factorization.

42913761264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 42913761264 in words is "forty-two billion, nine hundred thirteen million, seven hundred sixty-one thousand, two hundred sixty-four".