47190121458480 has 2400 divisors, whose sum is σ = 225464575057920. Its totient is φ = 8879828705280.

The previous prime is 47190121458449. The next prime is 47190121458563. The reversal of 47190121458480 is 8485412109174.

It is a happy number.

47190121458480 is a `hidden beast` number, since 4 + 7 + 1 + 9 + 0 + 12 + 145 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4469179441 + ... + 4469189999.

Almost surely, 2^{47190121458480} is an apocalyptic number.

47190121458480 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 47190121458480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112732287528960).

47190121458480 is an abundant number, since it is smaller than the sum of its proper divisors (178274453599440).

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

47190121458480 is a wasteful number, since it uses less digits than its factorization.

47190121458480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10681 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 47190121458480 in words is "forty-seven trillion, one hundred ninety billion, one hundred twenty-one million, four hundred fifty-eight thousand, four hundred eighty".