40984784548096 has 81 divisors (see below), whose sum is σ = 86345953209831. Its totient is φ = 19412923433472.

The previous prime is 40984784548073. The next prime is 40984784548189. The reversal of 40984784548096 is 69084548748904.

The square root of 40984784548096 is 6401936.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1946178015 + ... + 1946199073.

Almost surely, 2^{40984784548096} is an apocalyptic number.

40984784548096 is the 6401936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40984784548096

40984784548096 is an abundant number, since it is smaller than the sum of its proper divisors (45361168661735).

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

40984784548096 is an frugal number, since it uses more digits than its factorization.

40984784548096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42172 (or 21080 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 76.

The spelling of 40984784548096 in words is "forty trillion, nine hundred eighty-four billion, seven hundred eighty-four million, five hundred forty-eight thousand, ninety-six".