1040558400 has 840 divisors, whose sum is σ = 4634195456. Its totient is φ = 223948800.

The previous prime is 1040558383. The next prime is 1040558413. The reversal of 1040558400 is 48550401.

1040558400 is a `hidden beast` number, since 104 + 0 + 558 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28123182 + ... + 28123218.

Almost surely, 2^1040558400 is an apocalyptic number.

1040558400 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 1040558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317097728).

1040558400 is an abundant number, since it is smaller than the sum of its proper divisors (3593637056).

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

1040558400 is a wasteful number, since it uses less digits than its factorization.

1040558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1040558400 is about 32257.6874558608. The cubic root of 1040558400 is about 1013.3407009314.

The spelling of 1040558400 in words is "one billion, forty million, five hundred fifty-eight thousand, four hundred".