40089195648 has 128 divisors (see below), whose sum is σ = 118388952000. Its totient is φ = 13355145216.

The previous prime is 40089195647. The next prime is 40089195683. The reversal of 40089195648 is 84659198004.

40089195648 is a `hidden beast` number, since 400 + 8 + 9 + 195 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40089195594 and 40089195603.

It is not an unprimeable number, because it can be changed into a prime (40089195647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10258911 + ... + 10262817.

Almost surely, 2^40089195648 is an apocalyptic number.

40089195648 is a gapful number since it is divisible by the number (48) 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 40089195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59194476000).

40089195648 is an abundant number, since it is smaller than the sum of its proper divisors (78299756352).

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

40089195648 is a wasteful number, since it uses less digits than its factorization.

40089195648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 40089195648 in words is "forty billion, eighty-nine million, one hundred ninety-five thousand, six hundred forty-eight".