20141950080 has 384 divisors, whose sum is σ = 76730209920. Its totient is φ = 4402151424.

The previous prime is 20141950079. The next prime is 20141950091. The reversal of 20141950080 is 8005914102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7108344 + ... + 7111176.

It is an arithmetic number, because the mean of its divisors is an integer number (199818255).

Almost surely, 2^20141950080 is an apocalyptic number.

20141950080 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 20141950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38365104960).

20141950080 is an abundant number, since it is smaller than the sum of its proper divisors (56588259840).

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

20141950080 is a wasteful number, since it uses less digits than its factorization.

20141950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 20141950080 in words is "twenty billion, one hundred forty-one million, nine hundred fifty thousand, eighty".