47401184880 has 480 divisors, whose sum is σ = 196067450880. Its totient is φ = 10484328960.

The previous prime is 47401184851. The next prime is 47401184923. The reversal of 47401184880 is 8848110474.

It is a happy number.

It is a super-2 number, since 2×47401184880² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3273817 + ... + 3288263.

It is an arithmetic number, because the mean of its divisors is an integer number (408473856).

Almost surely, 2^47401184880 is an apocalyptic number.

47401184880 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 47401184880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98033725440).

47401184880 is an abundant number, since it is smaller than the sum of its proper divisors (148666266000).

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

47401184880 is a wasteful number, since it uses less digits than its factorization.

47401184880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14514 (or 14495 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 47401184880 in words is "forty-seven billion, four hundred one million, one hundred eighty-four thousand, eight hundred eighty".