47279831040 has 1152 divisors, whose sum is σ = 194610124800. Its totient is φ = 10510663680.

The previous prime is 47279830987. The next prime is 47279831041. The reversal of 47279831040 is 4013897274.

47279831040 is a `hidden beast` number, since 472 + 79 + 8 + 3 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (47279831041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 705669087 + ... + 705669153.

It is an arithmetic number, because the mean of its divisors is an integer number (168932400).

Almost surely, 2^47279831040 is an apocalyptic number.

47279831040 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 47279831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97305062400).

47279831040 is an abundant number, since it is smaller than the sum of its proper divisors (147330293760).

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

47279831040 is a wasteful number, since it uses less digits than its factorization.

47279831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 47279831040 in words is "forty-seven billion, two hundred seventy-nine million, eight hundred thirty-one thousand, forty".