40011431120 has 80 divisors (see below), whose sum is σ = 97194529152. Its totient is φ = 15289274880.

The previous prime is 40011431107. The next prime is 40011431123. The reversal of 40011431120 is 2113411004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40011431123) 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 15 ways as a sum of consecutive naturals, for example, 1478834 + ... + 1505646.

Almost surely, 2^40011431120 is an apocalyptic number.

40011431120 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 40011431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48597264576).

40011431120 is an abundant number, since it is smaller than the sum of its proper divisors (57183098032).

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

40011431120 is a wasteful number, since it uses less digits than its factorization.

40011431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27660 (or 27654 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 40011431120 its reverse (2113411004), we get a palindrome (42124842124).

The spelling of 40011431120 in words is "forty billion, eleven million, four hundred thirty-one thousand, one hundred twenty".