47802565440 has 840 divisors, whose sum is σ = 198888388608. Its totient is φ = 10526423040.

The previous prime is 47802565429. The next prime is 47802565477. The reversal of 47802565440 is 4456520874.

47802565440 is a `hidden beast` number, since 4 + 7 + 80 + 2 + 565 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 214361169 + ... + 214361391.

Almost surely, 2^47802565440 is an apocalyptic number.

47802565440 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 47802565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99444194304).

47802565440 is an abundant number, since it is smaller than the sum of its proper divisors (151085823168).

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

47802565440 is a wasteful number, since it uses less digits than its factorization.

47802565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 47802565440 in words is "forty-seven billion, eight hundred two million, five hundred sixty-five thousand, four hundred forty".