40001113152 has 1512 divisors, whose sum is σ = 170320871448. Its totient is φ = 8856207360.

The previous prime is 40001113129. The next prime is 40001113223. The reversal of 40001113152 is 25131110004.

40001113152 is a `hidden beast` number, since 400 + 0 + 1 + 113 + 152 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7868399616 + 32132713536 = 88704^2 + 179256^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 754737958 + ... + 754738010.

It is an arithmetic number, because the mean of its divisors is an integer number (112646079).

Almost surely, 2^40001113152 is an apocalyptic number.

40001113152 is a gapful number since it is divisible by the number (42) 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 40001113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85160435724).

40001113152 is an abundant number, since it is smaller than the sum of its proper divisors (130319758296).

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

40001113152 is a wasteful number, since it uses less digits than its factorization.

40001113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 40001113152 its reverse (25131110004), we get a palindrome (65132223156).

The spelling of 40001113152 in words is "forty billion, one million, one hundred thirteen thousand, one hundred fifty-two".