40020140160 has 1152 divisors, whose sum is σ = 187249870080. Its totient is φ = 7664025600.

The previous prime is 40020140101. The next prime is 40020140189. The reversal of 40020140160 is 6104102004.

40020140160 is a `hidden beast` number, since 4 + 0 + 0 + 201 + 401 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×40020140160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63423045 + ... + 63423675.

It is an arithmetic number, because the mean of its divisors is an integer number (162543290).

Almost surely, 2^40020140160 is an apocalyptic number.

40020140160 is a gapful number since it is divisible by the number (40) 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 40020140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93624935040).

40020140160 is an abundant number, since it is smaller than the sum of its proper divisors (147229729920).

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

40020140160 is a wasteful number, since it uses less digits than its factorization.

40020140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40020140160 its reverse (6104102004), we get a palindrome (46124242164).

The spelling of 40020140160 in words is "forty billion, twenty million, one hundred forty thousand, one hundred sixty".