20205601440 has 96 divisors (see below), whose sum is σ = 63884661120. Its totient is φ = 5368095744.

The previous prime is 20205601397. The next prime is 20205601441. The reversal of 20205601440 is 4410650202.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20205601440.

It is not an unprimeable number, because it can be changed into a prime (20205601441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50877 + ... + 207363.

It is an arithmetic number, because the mean of its divisors is an integer number (665465220).

Almost surely, 2^20205601440 is an apocalyptic number.

20205601440 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 20205601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31942330560).

20205601440 is an abundant number, since it is smaller than the sum of its proper divisors (43679059680).

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

20205601440 is a wasteful number, since it uses less digits than its factorization.

20205601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156774 (or 156766 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 20205601440 in words is "twenty billion, two hundred five million, six hundred one thousand, four hundred forty".