40197585784752 has 120 divisors (see below), whose sum is σ = 122810335773840. Its totient is φ = 12172561712640.

The previous prime is 40197585784751. The next prime is 40197585784801. The reversal of 40197585784752 is 25748758579104.

40197585784752 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 7 + 5 + 8 + 578 + 47 + 5 + 2 = 666.

40197585784752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (40197585784751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6615843 + ... + 11142914.

It is an arithmetic number, because the mean of its divisors is an integer number (1023419464782).

Almost surely, 2^{40197585784752} is an apocalyptic number.

It is an amenable number.

40197585784752 is an abundant number, since it is smaller than the sum of its proper divisors (82612749989088).

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

40197585784752 is a wasteful number, since it uses less digits than its factorization.

40197585784752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17760211 (or 17760202 counting only the distinct ones).

The product of its (nonzero) digits is 790272000, while the sum is 72.

The spelling of 40197585784752 in words is "forty trillion, one hundred ninety-seven billion, five hundred eighty-five million, seven hundred eighty-four thousand, seven hundred fifty-two".