40191193440 has 96 divisors (see below), whose sum is σ = 140669192160. Its totient is φ = 10717650432.

The previous prime is 40191193423. The next prime is 40191193463. The reversal of 40191193440 is 4439119104.

40191193440 is a `hidden beast` number, since 40 + 1 + 91 + 1 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40191193395 and 40191193404.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4647439 + ... + 4656078.

It is an arithmetic number, because the mean of its divisors is an integer number (1465304085).

Almost surely, 2^40191193440 is an apocalyptic number.

40191193440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40191193440 is an abundant number, since it is smaller than the sum of its proper divisors (100477998720).

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

40191193440 is a wasteful number, since it uses less digits than its factorization.

40191193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303541 (or 9303527 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 40191193440 in words is "forty billion, one hundred ninety-one million, one hundred ninety-three thousand, four hundred forty".