20145659040 has 480 divisors, whose sum is σ = 77339298960. Its totient is φ = 4908957696.

The previous prime is 20145659003. The next prime is 20145659059. The reversal of 20145659040 is 4095654102.

20145659040 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 565 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4782552336 + 15363106704 = 69156^2 + 123948^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 = 20145658986 and 20145659004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18363772 + ... + 18364868.

Almost surely, 2^20145659040 is an apocalyptic number.

20145659040 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 20145659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38669649480).

20145659040 is an abundant number, since it is smaller than the sum of its proper divisors (57193639920).

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

20145659040 is a wasteful number, since it uses less digits than its factorization.

20145659040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 20145659040 in words is "twenty billion, one hundred forty-five million, six hundred fifty-nine thousand, forty".