40116003840 has 1408 divisors, whose sum is σ = 172050186240. Its totient is φ = 8758886400.

The previous prime is 40116003773. The next prime is 40116003853. The reversal of 40116003840 is 4830061104.

40116003840 is a `hidden beast` number, since 4 + 0 + 11 + 600 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1084216302 + ... + 1084216338.

Almost surely, 2^40116003840 is an apocalyptic number.

40116003840 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 40116003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86025093120).

40116003840 is an abundant number, since it is smaller than the sum of its proper divisors (131934182400).

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

40116003840 is a wasteful number, since it uses less digits than its factorization.

40116003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40116003840 its reverse (4830061104), we get a palindrome (44946064944).

The spelling of 40116003840 in words is "forty billion, one hundred sixteen million, three thousand, eight hundred forty".