40040040044400 has 480 divisors, whose sum is σ = 148184354880000. Its totient is φ = 9133726924800.

The previous prime is 40040040044357. The next prime is 40040040044413. The reversal of 40040040044400 is 444004004004.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211519076 + ... + 1211552124.

It is an arithmetic number, because the mean of its divisors is an integer number (308717406000).

Almost surely, 2^{40040040044400} is an apocalyptic number.

40040040044400 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 40040040044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74092177440000).

40040040044400 is an abundant number, since it is smaller than the sum of its proper divisors (108144314835600).

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

40040040044400 is a wasteful number, since it uses less digits than its factorization.

40040040044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38497 (or 38486 counting only the distinct ones).

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

Adding to 40040040044400 its reverse (444004004004), we get a palindrome (40484044048404).

The spelling of 40040040044400 in words is "forty trillion, forty billion, forty million, forty-four thousand, four hundred".