40202004040 has 128 divisors (see below), whose sum is σ = 102515051520. Its totient is φ = 14056473600.

The previous prime is 40202004023. The next prime is 40202004049. The reversal of 40202004040 is 4040020204.

It is a super-2 number, since 2×40202004040² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40202004049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2132094 + ... + 2150866.

It is an arithmetic number, because the mean of its divisors is an integer number (800898840).

Almost surely, 2^40202004040 is an apocalyptic number.

40202004040 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 40202004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51257525760).

40202004040 is an abundant number, since it is smaller than the sum of its proper divisors (62313047480).

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

40202004040 is a wasteful number, since it uses less digits than its factorization.

40202004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18983 (or 18979 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40202004040 its reverse (4040020204), we get a palindrome (44242024244).

The spelling of 40202004040 in words is "forty billion, two hundred two million, four thousand, forty".