40951961600 has 576 divisors, whose sum is σ = 120648528000. Its totient is φ = 13624934400.

The previous prime is 40951961599. The next prime is 40951961629. The reversal of 40951961600 is 616915904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460134356 + ... + 460134444.

It is an arithmetic number, because the mean of its divisors is an integer number (209459250).

Almost surely, 2^40951961600 is an apocalyptic number.

40951961600 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 40951961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60324264000).

40951961600 is an abundant number, since it is smaller than the sum of its proper divisors (79696566400).

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

40951961600 is a wasteful number, since it uses less digits than its factorization.

40951961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The spelling of 40951961600 in words is "forty billion, nine hundred fifty-one million, nine hundred sixty-one thousand, six hundred".