120533402456640 has 84 divisors (see below), whose sum is σ = 414584682209724. Its totient is φ = 32142240654336.

The previous prime is 120533402456627. The next prime is 120533402456641. The reversal of 120533402456640 is 46654204335021.

120533402456640 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 3 + 3 + 40 + 2 + 4 + 566 + 40 = 666.

120533402456640 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21466097455104 + 99067305001536 = 4633152^2 + 9953256^2 .

It is a super-2 number, since 2×120533402456640² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120533402456641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20925935047 + ... + 20925940806.

Almost surely, 2^{120533402456640} is an apocalyptic number.

120533402456640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120533402456640 is an abundant number, since it is smaller than the sum of its proper divisors (294051279753084).

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

120533402456640 is a wasteful number, since it uses less digits than its factorization.

120533402456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41851875876 (or 41851875863 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 120533402456640 in words is "one hundred twenty trillion, five hundred thirty-three billion, four hundred two million, four hundred fifty-six thousand, six hundred forty".