20464741440 has 1344 divisors, whose sum is σ = 91065461760. Its totient is φ = 4140564480.

The previous prime is 20464741433. The next prime is 20464741447. The reversal of 20464741440 is 4414746402.

20464741440 is a `hidden beast` number, since 2 + 0 + 4 + 647 + 4 + 1 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20464741433) and next prime (20464741447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20464741395 and 20464741404.

It is not an unprimeable number, because it can be changed into a prime (20464741447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259047321 + ... + 259047399.

It is an arithmetic number, because the mean of its divisors is an integer number (67757040).

Almost surely, 2^20464741440 is an apocalyptic number.

20464741440 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 20464741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532730880).

20464741440 is an abundant number, since it is smaller than the sum of its proper divisors (70600720320).

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

20464741440 is a wasteful number, since it uses less digits than its factorization.

20464741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 20464741440 in words is "twenty billion, four hundred sixty-four million, seven hundred forty-one thousand, four hundred forty".