42926649840 has 960 divisors, whose sum is σ = 170549084160. Its totient is φ = 9976919040.

The previous prime is 42926649823. The next prime is 42926649877. The reversal of 42926649840 is 4894662924.

42926649840 is a `hidden beast` number, since 4 + 2 + 92 + 66 + 498 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 263353599 + ... + 263353761.

It is an arithmetic number, because the mean of its divisors is an integer number (177655296).

Almost surely, 2^42926649840 is an apocalyptic number.

42926649840 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 42926649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85274542080).

42926649840 is an abundant number, since it is smaller than the sum of its proper divisors (127622434320).

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

42926649840 is a wasteful number, since it uses less digits than its factorization.

42926649840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 42926649840 in words is "forty-two billion, nine hundred twenty-six million, six hundred forty-nine thousand, eight hundred forty".