45789026365440 has 1248 divisors, whose sum is σ = 173739693643776. Its totient is φ = 11120282173440.

The previous prime is 45789026365391. The next prime is 45789026365471. The reversal of 45789026365440 is 4456362098754.

45789026365440 is a `hidden beast` number, since 4 + 5 + 7 + 89 + 0 + 2 + 6 + 3 + 6 + 544 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7372243935 + ... + 7372250145.

It is an arithmetic number, because the mean of its divisors is an integer number (139214498112).

Almost surely, 2^{45789026365440} is an apocalyptic number.

45789026365440 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 45789026365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86869846821888).

45789026365440 is an abundant number, since it is smaller than the sum of its proper divisors (127950667278336).

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

45789026365440 is a wasteful number, since it uses less digits than its factorization.

45789026365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 45789026365440 in words is "forty-five trillion, seven hundred eighty-nine billion, twenty-six million, three hundred sixty-five thousand, four hundred forty".