40347098707968 has 960 divisors, whose sum is σ = 136277377236000. Its totient is φ = 11806278156288.

The previous prime is 40347098707943. The next prime is 40347098707969. The reversal of 40347098707968 is 86970789074304.

40347098707968 is a `hidden beast` number, since 4 + 0 + 3 + 470 + 9 + 87 + 0 + 79 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40347098707896 and 40347098707905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40347098707969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4190160178 + ... + 4190169806.

Almost surely, 2^{40347098707968} is an apocalyptic number.

40347098707968 is a gapful number since it is divisible by the number (48) 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 40347098707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68138688618000).

40347098707968 is an abundant number, since it is smaller than the sum of its proper divisors (95930278528032).

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

40347098707968 is a wasteful number, since it uses less digits than its factorization.

40347098707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 40347098707968 in words is "forty trillion, three hundred forty-seven billion, ninety-eight million, seven hundred seven thousand, nine hundred sixty-eight".