120527447040 has 2112 divisors, whose sum is σ = 586894878720. Its totient is φ = 22773104640.

The previous prime is 120527447039. The next prime is 120527447057. The reversal of 120527447040 is 40744725021.

120527447040 is a `hidden beast` number, since 1 + 20 + 527 + 4 + 4 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 120527446986 and 120527447004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1798917087 + ... + 1798917153.

Almost surely, 2^120527447040 is an apocalyptic number.

120527447040 is a gapful number since it is divisible by the number (10) 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 120527447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293447439360).

120527447040 is an abundant number, since it is smaller than the sum of its proper divisors (466367431680).

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

120527447040 is a wasteful number, since it uses less digits than its factorization.

120527447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 120527447040 in words is "one hundred twenty billion, five hundred twenty-seven million, four hundred forty-seven thousand, forty".