20484023040 has 576 divisors, whose sum is σ = 79117516800. Its totient is φ = 4988583936.

The previous prime is 20484023023. The next prime is 20484023041. The reversal of 20484023040 is 4032048402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20484022995 and 20484023013.

It is not an unprimeable number, because it can be changed into a prime (20484023041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57058381 + ... + 57058739.

It is an arithmetic number, because the mean of its divisors is an integer number (137356800).

Almost surely, 2^20484023040 is an apocalyptic number.

20484023040 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 20484023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39558758400).

20484023040 is an abundant number, since it is smaller than the sum of its proper divisors (58633493760).

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

20484023040 is a wasteful number, since it uses less digits than its factorization.

20484023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 20484023040 in words is "twenty billion, four hundred eighty-four million, twenty-three thousand, forty".