40918617600 has 480 divisors, whose sum is σ = 155486048256. Its totient is φ = 9292185600.

The previous prime is 40918617589. The next prime is 40918617629. The reversal of 40918617600 is 671681904.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 51340402 + ... + 51341198.

Almost surely, 2^40918617600 is an apocalyptic number.

40918617600 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 40918617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77743024128).

40918617600 is an abundant number, since it is smaller than the sum of its proper divisors (114567430656).

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

40918617600 is a wasteful number, since it uses less digits than its factorization.

40918617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 40918617600 in words is "forty billion, nine hundred eighteen million, six hundred seventeen thousand, six hundred".