1001410400 has 72 divisors (see below), whose sum is σ = 2454061680. Its totient is φ = 399029760.

The previous prime is 1001410357. The next prime is 1001410411. The reversal of 1001410400 is 40141001.

1001410400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219341 + ... + 223859.

It is an arithmetic number, because the mean of its divisors is an integer number (34084190).

Almost surely, 2^1001410400 is an apocalyptic number.

1001410400 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 1001410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227030840).

1001410400 is an abundant number, since it is smaller than the sum of its proper divisors (1452651280).

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

1001410400 is a wasteful number, since it uses less digits than its factorization.

1001410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1001410400 is about 31645.0691261688. The cubic root of 1001410400 is about 1000.4699124810.

Adding to 1001410400 its reverse (40141001), we get a palindrome (1041551401).

The spelling of 1001410400 in words is "one billion, one million, four hundred ten thousand, four hundred".