40918425600 has 672 divisors, whose sum is σ = 150167888640. Its totient is φ = 9767485440.

The previous prime is 40918425589. The next prime is 40918425607. The reversal of 40918425600 is 652481904.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40918425607) by changing a digit.

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, 375398346 + ... + 375398454.

It is an arithmetic number, because the mean of its divisors is an integer number (223464120).

Almost surely, 2^40918425600 is an apocalyptic number.

40918425600 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 40918425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75083944320).

40918425600 is an abundant number, since it is smaller than the sum of its proper divisors (109249463040).

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

40918425600 is a wasteful number, since it uses less digits than its factorization.

40918425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 40918425600 in words is "forty billion, nine hundred eighteen million, four hundred twenty-five thousand, six hundred".