47521207440 has 960 divisors, whose sum is σ = 200057195520. Its totient is φ = 10327080960.

The previous prime is 47521207427. The next prime is 47521207471. The reversal of 47521207440 is 4470212574.

47521207440 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 1 + 207 + 440 = 666.

It is a super-2 number, since 2×47521207440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47521207395 and 47521207404.

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, 203953564 + ... + 203953796.

It is an arithmetic number, because the mean of its divisors is an integer number (208392912).

Almost surely, 2^47521207440 is an apocalyptic number.

47521207440 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 47521207440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100028597760).

47521207440 is an abundant number, since it is smaller than the sum of its proper divisors (152535988080).

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

47521207440 is a wasteful number, since it uses less digits than its factorization.

47521207440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 47521207440 in words is "forty-seven billion, five hundred twenty-one million, two hundred seven thousand, four hundred forty".