42656473440 has 1152 divisors, whose sum is σ = 187489935360. Its totient is φ = 8603172864.

The previous prime is 42656473439. The next prime is 42656473441. The reversal of 42656473440 is 4437465624.

42656473440 is a `hidden beast` number, since 4 + 265 + 6 + 47 + 344 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42656473439) and next prime (42656473441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42656473441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 311361052 + ... + 311361188.

It is an arithmetic number, because the mean of its divisors is an integer number (162751680).

Almost surely, 2^42656473440 is an apocalyptic number.

42656473440 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 42656473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744967680).

42656473440 is an abundant number, since it is smaller than the sum of its proper divisors (144833461920).

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

42656473440 is a wasteful number, since it uses less digits than its factorization.

42656473440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 42656473440 in words is "forty-two billion, six hundred fifty-six million, four hundred seventy-three thousand, four hundred forty".