47417425920 has 448 divisors, whose sum is σ = 171051854940. Its totient is φ = 12612796416.

The previous prime is 47417425901. The next prime is 47417425973. The reversal of 47417425920 is 2952471474.

47417425920 is a `hidden beast` number, since 4 + 7 + 4 + 17 + 42 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47405481984 + 11943936 = 217728^2 + 3456^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119439162 + ... + 119439558.

Almost surely, 2^47417425920 is an apocalyptic number.

47417425920 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 47417425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85525927470).

47417425920 is an abundant number, since it is smaller than the sum of its proper divisors (123634429020).

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

47417425920 is an frugal number, since it uses more digits than its factorization.

47417425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 47417425920 in words is "forty-seven billion, four hundred seventeen million, four hundred twenty-five thousand, nine hundred twenty".