404034510400 has 168 divisors, whose sum is σ = 1007234048520. Its totient is φ = 159498240000.

The previous prime is 404034510371. The next prime is 404034510401. The reversal of 404034510400 is 4015430404.

It can be written as a sum of positive squares in 12 ways, for example, as 90461389824 + 313573120576 = 300768^2 + 559976^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (404034510401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85580040 + ... + 85584760.

It is an arithmetic number, because the mean of its divisors is an integer number (5995440765).

Almost surely, 2^404034510400 is an apocalyptic number.

404034510400 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 404034510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503617024260).

404034510400 is an abundant number, since it is smaller than the sum of its proper divisors (603199538120).

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

404034510400 is a wasteful number, since it uses less digits than its factorization.

404034510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 404034510400 its reverse (4015430404), we get a palindrome (408049940804).

The spelling of 404034510400 in words is "four hundred four billion, thirty-four million, five hundred ten thousand, four hundred".