1040212800 has 504 divisors, whose sum is σ = 4188968000. Its totient is φ = 250905600.

The previous prime is 1040212793. The next prime is 1040212807. The reversal of 1040212800 is 82120401.

It is an interprime number because it is at equal distance from previous prime (1040212793) and next prime (1040212807).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040212807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5227101 + ... + 5227299.

Almost surely, 2^1040212800 is an apocalyptic number.

1040212800 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 1040212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094484000).

1040212800 is an abundant number, since it is smaller than the sum of its proper divisors (3148755200).

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

1040212800 is a wasteful number, since it uses less digits than its factorization.

1040212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1040212800 is about 32252.3301483784. The cubic root of 1040212800 is about 1013.2285017746.

The spelling of 1040212800 in words is "one billion, forty million, two hundred twelve thousand, eight hundred".