40117469760 has 84 divisors (see below), whose sum is σ = 137987390268. Its totient is φ = 10697991168.

The previous prime is 40117469701. The next prime is 40117469773. The reversal of 40117469760 is 6796471104.

40117469760 is a `hidden beast` number, since 4 + 0 + 117 + 469 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5868785664 + 34248684096 = 76608^2 + 185064^2 .

It is a super-2 number, since 2×40117469760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6961959 + ... + 6967718.

It is an arithmetic number, because the mean of its divisors is an integer number (1642707027).

Almost surely, 2^40117469760 is an apocalyptic number.

40117469760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40117469760 is an abundant number, since it is smaller than the sum of its proper divisors (97869920508).

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

40117469760 is a wasteful number, since it uses less digits than its factorization.

40117469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929700 (or 13929687 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 40117469760 in words is "forty billion, one hundred seventeen million, four hundred sixty-nine thousand, seven hundred sixty".