47496817440 has 144 divisors (see below), whose sum is σ = 162149086008. Its totient is φ = 12660645888.

The previous prime is 47496817421. The next prime is 47496817469. The reversal of 47496817440 is 4471869474.

47496817440 is a `hidden beast` number, since 4 + 7 + 496 + 81 + 74 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38602818576 + 8893998864 = 196476^2 + 94308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4627354 + ... + 4637606.

Almost surely, 2^47496817440 is an apocalyptic number.

47496817440 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 47496817440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81074543004).

47496817440 is an abundant number, since it is smaller than the sum of its proper divisors (114652268568).

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

47496817440 is a wasteful number, since it uses less digits than its factorization.

47496817440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13491 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 47496817440 in words is "forty-seven billion, four hundred ninety-six million, eight hundred seventeen thousand, four hundred forty".