40989365198208 has 384 divisors, whose sum is σ = 144222341203200. Its totient is φ = 10912980234240.

The previous prime is 40989365198167. The next prime is 40989365198213. The reversal of 40989365198208 is 80289156398904.

40989365198208 is a `hidden beast` number, since 4 + 0 + 9 + 89 + 3 + 6 + 519 + 8 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×40989365198208² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7153335 + ... + 11539017.

It is an arithmetic number, because the mean of its divisors is an integer number (375579013550).

Almost surely, 2^{40989365198208} is an apocalyptic number.

40989365198208 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 40989365198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72111170601600).

40989365198208 is an abundant number, since it is smaller than the sum of its proper divisors (103232976004992).

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

40989365198208 is a wasteful number, since it uses less digits than its factorization.

40989365198208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385790 (or 4385775 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 40989365198208 in words is "forty trillion, nine hundred eighty-nine billion, three hundred sixty-five million, one hundred ninety-eight thousand, two hundred eight".