47541565440 has 384 divisors, whose sum is σ = 169816046400. Its totient is φ = 12616335360.

The previous prime is 47541565439. The next prime is 47541565499. The reversal of 47541565440 is 4456514574.

47541565440 is a `hidden beast` number, since 4 + 7 + 5 + 41 + 565 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103126810 + ... + 103127270.

Almost surely, 2^47541565440 is an apocalyptic number.

47541565440 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 47541565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84908023200).

47541565440 is an abundant number, since it is smaller than the sum of its proper divisors (122274480960).

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

47541565440 is a wasteful number, since it uses less digits than its factorization.

47541565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 47541565440 in words is "forty-seven billion, five hundred forty-one million, five hundred sixty-five thousand, four hundred forty".