47120486400 has 1560 divisors, whose sum is σ = 206468243520. Its totient is φ = 10510663680.

The previous prime is 47120486327. The next prime is 47120486431. The reversal of 47120486400 is 468402174.

47120486400 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 0 + 4 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

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

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 119 ways as a sum of consecutive naturals, for example, 2048716789 + ... + 2048716811.

Almost surely, 2^47120486400 is an apocalyptic number.

47120486400 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 47120486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103234121760).

47120486400 is an abundant number, since it is smaller than the sum of its proper divisors (159347757120).

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

47120486400 is a wasteful number, since it uses less digits than its factorization.

47120486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 47120486400 its reverse (468402174), we get a palindrome (47588888574).

The spelling of 47120486400 in words is "forty-seven billion, one hundred twenty million, four hundred eighty-six thousand, four hundred".