40200244200204 has 192 divisors, whose sum is σ = 106157658184704. Its totient is φ = 11732688000000.

The previous prime is 40200244200199. The next prime is 40200244200239.

40200244200204 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4060215654 + ... + 4060225554.

It is an arithmetic number, because the mean of its divisors is an integer number (552904469712).

Almost surely, 2^{40200244200204} is an apocalyptic number.

40200244200204 is a gapful number since it is divisible by the number (44) 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 40200244200204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53078829092352).

40200244200204 is an abundant number, since it is smaller than the sum of its proper divisors (65957413984500).

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

40200244200204 is a wasteful number, since it uses less digits than its factorization.

40200244200204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18288 (or 18286 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4020024 and 4200204, that added together give a palindrome (8220228).

The spelling of 40200244200204 in words is "forty trillion, two hundred billion, two hundred forty-four million, two hundred thousand, two hundred four".