112367417040 has 60 divisors (see below), whose sum is σ = 377367244644. Its totient is φ = 29964644352.

The previous prime is 112367417011. The next prime is 112367417047. The reversal of 112367417040 is 40714763211.

112367417040 is a `hidden beast` number, since 1 + 1 + 236 + 7 + 417 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15629000256 + 96738416784 = 125016^2 + 311028^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112367416986 and 112367417004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112367417047) 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 11 ways as a sum of consecutive naturals, for example, 78032209 + ... + 78033648.

Almost surely, 2^112367417040 is an apocalyptic number.

112367417040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112367417040 is an abundant number, since it is smaller than the sum of its proper divisors (264999827604).

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

112367417040 is a wasteful number, since it uses less digits than its factorization.

112367417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156065876 (or 156065867 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 112367417040 in words is "one hundred twelve billion, three hundred sixty-seven million, four hundred seventeen thousand, forty".