4040108571200 has 336 divisors, whose sum is σ = 11197402487040. Its totient is φ = 1423550177280.

The previous prime is 4040108571193. The next prime is 4040108571209. The reversal of 4040108571200 is 21758010404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4040108571209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210007982 + ... + 210027218.

It is an arithmetic number, because the mean of its divisors is an integer number (33325602640).

Almost surely, 2^{4040108571200} is an apocalyptic number.

4040108571200 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 4040108571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598701243520).

4040108571200 is an abundant number, since it is smaller than the sum of its proper divisors (7157293915840).

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

4040108571200 is a wasteful number, since it uses less digits than its factorization.

4040108571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 4040108571200 in words is "four trillion, forty billion, one hundred eight million, five hundred seventy-one thousand, two hundred".