40970188800 has 864 divisors, whose sum is σ = 158031291600. Its totient is φ = 10510663680.

The previous prime is 40970188793. The next prime is 40970188817. The reversal of 40970188800 is 888107904.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 460339156 + ... + 460339244.

Almost surely, 2^40970188800 is an apocalyptic number.

40970188800 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 40970188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79015645800).

40970188800 is an abundant number, since it is smaller than the sum of its proper divisors (117061102800).

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

40970188800 is an equidigital number, since it uses as much as digits as its factorization.

40970188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

It can be divided in two parts, 409701 and 88800, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 40970188800 in words is "forty billion, nine hundred seventy million, one hundred eighty-eight thousand, eight hundred".