40195948104 has 384 divisors, whose sum is σ = 129926160000. Its totient is φ = 11112837120.

The previous prime is 40195948103. The next prime is 40195948151. The reversal of 40195948104 is 40184959104.

It is a happy number.

40195948104 is a `hidden beast` number, since 40 + 1 + 9 + 594 + 8 + 10 + 4 = 666.

It is a super-2 number, since 2×40195948104² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40195948104.

It is not an unprimeable number, because it can be changed into a prime (40195948103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30427764 + ... + 30429084.

It is an arithmetic number, because the mean of its divisors is an integer number (338349375).

Almost surely, 2^40195948104 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 40195948104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64963080000).

40195948104 is an abundant number, since it is smaller than the sum of its proper divisors (89730211896).

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

40195948104 is a wasteful number, since it uses less digits than its factorization.

40195948104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 40195948104 in words is "forty billion, one hundred ninety-five million, nine hundred forty-eight thousand, one hundred four".