47449463040 has 1728 divisors, whose sum is σ = 217133629440. Its totient is φ = 9674588160.

The previous prime is 47449463027. The next prime is 47449463053. The reversal of 47449463040 is 4036494474.

47449463040 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 9 + 4 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47449463027) and next prime (47449463053).

It is a tau number, because it is divible by the number of its divisors (1728).

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

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 191 ways as a sum of consecutive naturals, for example, 1282417902 + ... + 1282417938.

Almost surely, 2^47449463040 is an apocalyptic number.

47449463040 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 47449463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108566814720).

47449463040 is an abundant number, since it is smaller than the sum of its proper divisors (169684166400).

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

47449463040 is a wasteful number, since it uses less digits than its factorization.

47449463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 47449463040 in words is "forty-seven billion, four hundred forty-nine million, four hundred sixty-three thousand, forty".