1040726400 has 384 divisors, whose sum is σ = 4152591360. Its totient is φ = 223641600.

The previous prime is 1040726399. The next prime is 1040726431. The reversal of 1040726400 is 46270401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1040726400² = 2166222879313920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141945 + ... + 1142855.

It is an arithmetic number, because the mean of its divisors is an integer number (10814040).

Almost surely, 2^1040726400 is an apocalyptic number.

1040726400 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 1040726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076295680).

1040726400 is an abundant number, since it is smaller than the sum of its proper divisors (3111864960).

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

1040726400 is a wasteful number, since it uses less digits than its factorization.

1040726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1040726400 is about 32260.2913812011. The cubic root of 1040726400 is about 1013.3952332147.

Adding to 1040726400 its reverse (46270401), we get a palindrome (1086996801).

The spelling of 1040726400 in words is "one billion, forty million, seven hundred twenty-six thousand, four hundred".