20400346032 has 160 divisors (see below), whose sum is σ = 59785102080. Its totient is φ = 5937576960.

The previous prime is 20400345997. The next prime is 20400346039. The reversal of 20400346032 is 23064300402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20400345993 and 20400346011.

It is not an unprimeable number, because it can be changed into a prime (20400346039) 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, 3013083 + ... + 3019845.

It is an arithmetic number, because the mean of its divisors is an integer number (373656888).

Almost surely, 2^20400346032 is an apocalyptic number.

20400346032 is a gapful number since it is divisible by the number (22) 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 20400346032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29892551040).

20400346032 is an abundant number, since it is smaller than the sum of its proper divisors (39384756048).

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

20400346032 is a wasteful number, since it uses less digits than its factorization.

20400346032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20400346032 its reverse (23064300402), we get a palindrome (43464646434).

The spelling of 20400346032 in words is "twenty billion, four hundred million, three hundred forty-six thousand, thirty-two".