2020345144000 has 224 divisors, whose sum is σ = 5468606507520. Its totient is φ = 736063488000.

The previous prime is 2020345143979. The next prime is 2020345144003. The reversal of 2020345144000 is 4415430202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2020345144003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3976396 + ... + 4455604.

Almost surely, 2^{2020345144000} is an apocalyptic number.

2020345144000 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 2020345144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734303253760).

2020345144000 is an abundant number, since it is smaller than the sum of its proper divisors (3448261363520).

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

2020345144000 is a wasteful number, since it uses less digits than its factorization.

2020345144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479284 (or 479264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 2020345144000 in words is "two trillion, twenty billion, three hundred forty-five million, one hundred forty-four thousand".