47777727191040 has 2880 divisors, whose sum is σ = 218842805825280. Its totient is φ = 9914183516160.

The previous prime is 47777727191027. The next prime is 47777727191063. The reversal of 47777727191040 is 4019172777774.

47777727191040 is a `hidden beast` number, since 477 + 7 + 7 + 7 + 2 + 71 + 91 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×47777727191040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 65719019157 + ... + 65719019883.

It is an arithmetic number, because the mean of its divisors is an integer number (75987085356).

Almost surely, 2^{47777727191040} is an apocalyptic number.

47777727191040 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 47777727191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109421402912640).

47777727191040 is an abundant number, since it is smaller than the sum of its proper divisors (171065078634240).

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

47777727191040 is an frugal number, since it uses more digits than its factorization.

47777727191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 33882912, while the sum is 63.

The spelling of 47777727191040 in words is "forty-seven trillion, seven hundred seventy-seven billion, seven hundred twenty-seven million, one hundred ninety-one thousand, forty".