40263117120 has 336 divisors, whose sum is σ = 144313460928. Its totient is φ = 10684846080.

The previous prime is 40263117079. The next prime is 40263117131. The reversal of 40263117120 is 2171136204.

40263117120 is a `hidden beast` number, since 4 + 0 + 2 + 631 + 1 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×40263117120² (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17650380 + ... + 17652660.

It is an arithmetic number, because the mean of its divisors is an integer number (429504348).

Almost surely, 2^40263117120 is an apocalyptic number.

40263117120 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 40263117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72156730464).

40263117120 is an abundant number, since it is smaller than the sum of its proper divisors (104050343808).

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

40263117120 is a wasteful number, since it uses less digits than its factorization.

40263117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 40263117120 in words is "forty billion, two hundred sixty-three million, one hundred seventeen thousand, one hundred twenty".