40675616980992 has 768 divisors, whose sum is σ = 142830732844800. Its totient is φ = 10895417671680.

The previous prime is 40675616980981. The next prime is 40675616980993. The reversal of 40675616980992 is 29908961657604.

40675616980992 is a `hidden beast` number, since 406 + 7 + 56 + 1 + 6 + 9 + 80 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40675616980992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40675616980993) 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 47 ways as a sum of consecutive naturals, for example, 3804654367 + ... + 3804665057.

It is an arithmetic number, because the mean of its divisors is an integer number (185977516725).

Almost surely, 2^{40675616980992} is an apocalyptic number.

40675616980992 is a gapful number since it is divisible by the number (42) 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 40675616980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71415366422400).

40675616980992 is an abundant number, since it is smaller than the sum of its proper divisors (102155115863808).

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

40675616980992 is a wasteful number, since it uses less digits than its factorization.

40675616980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 40675616980992 in words is "forty trillion, six hundred seventy-five billion, six hundred sixteen million, nine hundred eighty thousand, nine hundred ninety-two".