40851033600 has 960 divisors, whose sum is σ = 157702406400. Its totient is φ = 9236643840.

The previous prime is 40851033577. The next prime is 40851033611. The reversal of 40851033600 is 633015804.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 559603164 + ... + 559603236.

It is an arithmetic number, because the mean of its divisors is an integer number (164273340).

Almost surely, 2^40851033600 is an apocalyptic number.

40851033600 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 40851033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78851203200).

40851033600 is an abundant number, since it is smaller than the sum of its proper divisors (116851372800).

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

40851033600 is a wasteful number, since it uses less digits than its factorization.

40851033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 40851033600 in words is "forty billion, eight hundred fifty-one million, thirty-three thousand, six hundred".