130602120445440 has 1920 divisors, whose sum is σ = 537445115311104. Its totient is φ = 28691988480000.

The previous prime is 130602120445367. The next prime is 130602120445457. The reversal of 130602120445440 is 44544021206031.

130602120445440 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 2 + 1 + 204 + 4 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 130602120445395 and 130602120445404.

It is a congruent number.

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, 189004515495 + ... + 189004516185.

Almost surely, 2^{130602120445440} is an apocalyptic number.

130602120445440 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 130602120445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268722557655552).

130602120445440 is an abundant number, since it is smaller than the sum of its proper divisors (406842994865664).

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

130602120445440 is a wasteful number, since it uses less digits than its factorization.

130602120445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 130602120445440 in words is "one hundred thirty trillion, six hundred two billion, one hundred twenty million, four hundred forty-five thousand, four hundred forty".