40978782672192 has 672 divisors, whose sum is σ = 132891972894720. Its totient is φ = 12009388769280.

The previous prime is 40978782672169. The next prime is 40978782672199. The reversal of 40978782672192 is 29127628787904.

40978782672192 is a `hidden beast` number, since 40 + 9 + 78 + 78 + 267 + 2 + 192 = 666.

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 40978782672192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40978782672199) 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 95 ways as a sum of consecutive naturals, for example, 1426376484 + ... + 1426405212.

Almost surely, 2^{40978782672192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40978782672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66445986447360).

40978782672192 is an abundant number, since it is smaller than the sum of its proper divisors (91913190222528).

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

40978782672192 is a wasteful number, since it uses less digits than its factorization.

40978782672192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28959 (or 28946 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 40978782672192 in words is "forty trillion, nine hundred seventy-eight billion, seven hundred eighty-two million, six hundred seventy-two thousand, one hundred ninety-two".