20415014544000 has 1024 divisors, whose sum is σ = 72810704977920. Its totient is φ = 5047308288000.

The previous prime is 20415014543851. The next prime is 20415014544073. The reversal of 20415014544000 is 44541051402.

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

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 127 ways as a sum of consecutive naturals, for example, 7378030617 + ... + 7378033383.

It is an arithmetic number, because the mean of its divisors is an integer number (71104204080).

Almost surely, 2^{20415014544000} is an apocalyptic number.

20415014544000 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 20415014544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36405352488960).

20415014544000 is an abundant number, since it is smaller than the sum of its proper divisors (52395690433920).

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

20415014544000 is a wasteful number, since it uses less digits than its factorization.

20415014544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 20415014544000 its reverse (44541051402), we get a palindrome (20459555595402).

The spelling of 20415014544000 in words is "twenty trillion, four hundred fifteen billion, fourteen million, five hundred forty-four thousand".