40191185880 has 160 divisors (see below), whose sum is σ = 135669362400. Its totient is φ = 10671450624.

The previous prime is 40191185873. The next prime is 40191185917. The reversal of 40191185880 is 8858119104.

40191185880 is a `hidden beast` number, since 40 + 19 + 1 + 18 + 588 + 0 = 666.

It is a super-2 number, since 2×40191185880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 728301 + ... + 781539.

It is an arithmetic number, because the mean of its divisors is an integer number (847933515).

Almost surely, 2^40191185880 is an apocalyptic number.

40191185880 is a gapful number since it is divisible by the number (40) 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 40191185880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67834681200).

40191185880 is an abundant number, since it is smaller than the sum of its proper divisors (95478176520).

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

40191185880 is a wasteful number, since it uses less digits than its factorization.

40191185880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53495 (or 53482 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 40191185880 in words is "forty billion, one hundred ninety-one million, one hundred eighty-five thousand, eight hundred eighty".