47395290240 has 320 divisors, whose sum is σ = 178169112000. Its totient is φ = 11973298176.

The previous prime is 47395290209. The next prime is 47395290251. The reversal of 47395290240 is 4209259374.

47395290240 is a `hidden beast` number, since 473 + 9 + 52 + 90 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 960901 + ... + 1009019.

It is an arithmetic number, because the mean of its divisors is an integer number (556778475).

Almost surely, 2^47395290240 is an apocalyptic number.

47395290240 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 47395290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89084556000).

47395290240 is an abundant number, since it is smaller than the sum of its proper divisors (130773821760).

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

47395290240 is a wasteful number, since it uses less digits than its factorization.

47395290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48169 (or 48148 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 47395290240 in words is "forty-seven billion, three hundred ninety-five million, two hundred ninety thousand, two hundred forty".