20294328741440 has 448 divisors, whose sum is σ = 55221002242560. Its totient is φ = 7049479127040.

The previous prime is 20294328741431. The next prime is 20294328741461. The reversal of 20294328741440 is 4414782349202.

It is a happy number.

It is a super-3 number, since 3×20294328741440³ (a number of 41 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4783011959 + ... + 4783016201.

It is an arithmetic number, because the mean of its divisors is an integer number (123261165720).

Almost surely, 2^{20294328741440} is an apocalyptic number.

20294328741440 is a gapful number since it is divisible by the number (20) 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 20294328741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27610501121280).

20294328741440 is an abundant number, since it is smaller than the sum of its proper divisors (34926673501120).

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

20294328741440 is a wasteful number, since it uses less digits than its factorization.

20294328741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

The spelling of 20294328741440 in words is "twenty trillion, two hundred ninety-four billion, three hundred twenty-eight million, seven hundred forty-one thousand, four hundred forty".