47025930240 has 600 divisors, whose sum is σ = 177940538160. Its totient is φ = 11848384512.

The previous prime is 47025930239. The next prime is 47025930251. The reversal of 47025930240 is 4203952074.

47025930240 is a `hidden beast` number, since 47 + 0 + 2 + 593 + 0 + 24 + 0 = 666.

It is a super-2 number, since 2×47025930240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47025930195 and 47025930204.

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, 126074694 + ... + 126075066.

Almost surely, 2^47025930240 is an apocalyptic number.

47025930240 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 47025930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88970269080).

47025930240 is an abundant number, since it is smaller than the sum of its proper divisors (130914607920).

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

47025930240 is an equidigital number, since it uses as much as digits as its factorization.

47025930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 47025930240 in words is "forty-seven billion, twenty-five million, nine hundred thirty thousand, two hundred forty".