400004004400 has 360 divisors, whose sum is σ = 1297413103104. Its totient is φ = 115084569600.

The previous prime is 400004004329. The next prime is 400004004437. The reversal of 400004004400 is 4400400004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5166777 + ... + 5243623.

Almost surely, 2^400004004400 is an apocalyptic number.

400004004400 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 400004004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648706551552).

400004004400 is an abundant number, since it is smaller than the sum of its proper divisors (897409098704).

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

400004004400 is a wasteful number, since it uses less digits than its factorization.

400004004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76909 (or 76885 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 400004004400 its reverse (4400400004), we get a palindrome (404404404404).

The spelling of 400004004400 in words is "four hundred billion, four million, four thousand, four hundred".