47282538240 has 1080 divisors, whose sum is σ = 202496030352. Its totient is φ = 10497392640.

The previous prime is 47282538223. The next prime is 47282538257. The reversal of 47282538240 is 4283528274.

47282538240 is a `hidden beast` number, since 4 + 72 + 8 + 2 + 538 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (47282538223) and next prime (47282538257).

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 208293007 + ... + 208293233.

Almost surely, 2^47282538240 is an apocalyptic number.

47282538240 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 47282538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101248015176).

47282538240 is an abundant number, since it is smaller than the sum of its proper divisors (155213492112).

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

47282538240 is a wasteful number, since it uses less digits than its factorization.

47282538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 47282538240 in words is "forty-seven billion, two hundred eighty-two million, five hundred thirty-eight thousand, two hundred forty".