2020339117440 has 1920 divisors, whose sum is σ = 9059032936800. Its totient is φ = 426398515200.

The previous prime is 2020339117411. The next prime is 2020339117471. The reversal of 2020339117440 is 447119330202.

It is a happy number.

2020339117440 is a `hidden beast` number, since 2 + 0 + 203 + 3 + 9 + 1 + 1 + 7 + 440 = 666.

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

It is a super-2 number, since 2×2020339117440² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2020339117395 and 2020339117404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1978784130 + ... + 1978785150.

Almost surely, 2^{2020339117440} is an apocalyptic number.

2020339117440 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 2020339117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529516468400).

2020339117440 is an abundant number, since it is smaller than the sum of its proper divisors (7038693819360).

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

2020339117440 is a wasteful number, since it uses less digits than its factorization.

2020339117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 2020339117440 in words is "two trillion, twenty billion, three hundred thirty-nine million, one hundred seventeen thousand, four hundred forty".