20494366345440 has 288 divisors, whose sum is σ = 77352388023456. Its totient is φ = 4908421877760.

The previous prime is 20494366345399. The next prime is 20494366345457. The reversal of 20494366345440 is 4454366349402.

It is a happy number.

20494366345440 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 4 + 3 + 66 + 34 + 544 + 0 = 666.

20494366345440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20494366345440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14101746 + ... + 15487025.

It is an arithmetic number, because the mean of its divisors is an integer number (268584680637).

Almost surely, 2^{20494366345440} is an apocalyptic number.

20494366345440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20494366345440 is an abundant number, since it is smaller than the sum of its proper divisors (56858021678016).

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

20494366345440 is a wasteful number, since it uses less digits than its factorization.

20494366345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29588842 (or 29588831 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 20494366345440 in words is "twenty trillion, four hundred ninety-four billion, three hundred sixty-six million, three hundred forty-five thousand, four hundred forty".