20045203064040 has 384 divisors, whose sum is σ = 78147169632000. Its totient is φ = 4021607546880.

The previous prime is 20045203064027. The next prime is 20045203064041. The reversal of 20045203064040 is 4046030254002.

It is a super-2 number, since 2×20045203064040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20045203063989 and 20045203064007.

It is not an unprimeable number, because it can be changed into a prime (20045203064041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452745 + ... + 6347864.

It is an arithmetic number, because the mean of its divisors is an integer number (203508254250).

Almost surely, 2^{20045203064040} is an apocalyptic number.

20045203064040 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 20045203064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39073584816000).

20045203064040 is an abundant number, since it is smaller than the sum of its proper divisors (58101966567960).

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

20045203064040 is a wasteful number, since it uses less digits than its factorization.

20045203064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800681 (or 6800666 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 20045203064040 in words is "twenty trillion, forty-five billion, two hundred three million, sixty-four thousand, forty".