20401041440 has 96 divisors (see below), whose sum is σ = 52530762816. Its totient is φ = 7441873920.

The previous prime is 20401041373. The next prime is 20401041443. The reversal of 20401041440 is 4414010402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20401041443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 113555 + ... + 231725.

It is an arithmetic number, because the mean of its divisors is an integer number (547195446).

Almost surely, 2^20401041440 is an apocalyptic number.

20401041440 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 20401041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265381408).

20401041440 is an abundant number, since it is smaller than the sum of its proper divisors (32129721376).

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

20401041440 is a wasteful number, since it uses less digits than its factorization.

20401041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118282 (or 118274 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20401041440 its reverse (4414010402), we get a palindrome (24815051842).

The spelling of 20401041440 in words is "twenty billion, four hundred one million, forty-one thousand, four hundred forty".