20377760040 has 288 divisors, whose sum is σ = 73998779400. Its totient is φ = 4858444800.

The previous prime is 20377760009. The next prime is 20377760047. The reversal of 20377760040 is 4006777302.

20377760040 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 7 + 7 + 600 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15907767876 + 4469992164 = 126126^2 + 66858^2 .

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 = 20377759977 and 20377760004.

It is not an unprimeable number, because it can be changed into a prime (20377760047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2653326 + ... + 2660994.

Almost surely, 2^20377760040 is an apocalyptic number.

20377760040 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 20377760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36999389700).

20377760040 is an abundant number, since it is smaller than the sum of its proper divisors (53621019360).

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

20377760040 is a wasteful number, since it uses less digits than its factorization.

20377760040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 20377760040 in words is "twenty billion, three hundred seventy-seven million, seven hundred sixty thousand, forty".