10040410400 has 144 divisors (see below), whose sum is σ = 25099956000. Its totient is φ = 3920885760.

The previous prime is 10040410361. The next prime is 10040410411. The reversal of 10040410400 is 401404001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5908751 + ... + 5910449.

It is an arithmetic number, because the mean of its divisors is an integer number (174305250).

Almost surely, 2^10040410400 is an apocalyptic number.

10040410400 is a gapful number since it is divisible by the number (10) 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 10040410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549978000).

10040410400 is an abundant number, since it is smaller than the sum of its proper divisors (15059545600).

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

10040410400 is a wasteful number, since it uses less digits than its factorization.

10040410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10040410400 its reverse (401404001), we get a palindrome (10441814401).

The spelling of 10040410400 in words is "ten billion, forty million, four hundred ten thousand, four hundred".