40204244400 has 180 divisors, whose sum is σ = 132367824792. Its totient is φ = 10430945280.

The previous prime is 40204244369. The next prime is 40204244429. The reversal of 40204244400 is 444240204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1630564 + ... + 1655036.

Almost surely, 2^40204244400 is an apocalyptic number.

40204244400 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 40204244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66183912396).

40204244400 is an abundant number, since it is smaller than the sum of its proper divisors (92163580392).

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

40204244400 is a wasteful number, since it uses less digits than its factorization.

40204244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24568 (or 24520 counting only the distinct ones).

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

Adding to 40204244400 its reverse (444240204), we get a palindrome (40648484604).

The spelling of 40204244400 in words is "forty billion, two hundred four million, two hundred forty-four thousand, four hundred".