1011410400 has 576 divisors, whose sum is σ = 4430716416. Its totient is φ = 193536000.

The previous prime is 1011410399. The next prime is 1011410417. The reversal of 1011410400 is 40141101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2402190 + ... + 2402610.

It is an arithmetic number, because the mean of its divisors is an integer number (7692216).

Almost surely, 2^1011410400 is an apocalyptic number.

1011410400 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 1011410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215358208).

1011410400 is an abundant number, since it is smaller than the sum of its proper divisors (3419306016).

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

1011410400 is a wasteful number, since it uses less digits than its factorization.

1011410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1011410400 is about 31802.6791324253. The cubic root of 1011410400 is about 1003.7890913200.

Adding to 1011410400 its reverse (40141101), we get a palindrome (1051551501).

The spelling of 1011410400 in words is "one billion, eleven million, four hundred ten thousand, four hundred".