42951565440 has 960 divisors, whose sum is σ = 183654143640. Its totient is φ = 9531260928.

The previous prime is 42951565387. The next prime is 42951565453. The reversal of 42951565440 is 4456515924.

42951565440 is a `hidden beast` number, since 4 + 2 + 9 + 51 + 56 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42908636736 + 42928704 = 207144^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93985692 + ... + 93986148.

Almost surely, 2^42951565440 is an apocalyptic number.

42951565440 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 42951565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91827071820).

42951565440 is an abundant number, since it is smaller than the sum of its proper divisors (140702578200).

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

42951565440 is a wasteful number, since it uses less digits than its factorization.

42951565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 42951565440 in words is "forty-two billion, nine hundred fifty-one million, five hundred sixty-five thousand, four hundred forty".