1040416200 has 144 divisors (see below), whose sum is σ = 3546625680. Its totient is φ = 273271680.

The previous prime is 1040416189. The next prime is 1040416211. The reversal of 1040416200 is 26140401.

1040416200 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 41 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1040416189) and next prime (1040416211).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116287 + ... + 124913.

It is an arithmetic number, because the mean of its divisors is an integer number (24629345).

Almost surely, 2^1040416200 is an apocalyptic number.

1040416200 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 1040416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773312840).

1040416200 is an abundant number, since it is smaller than the sum of its proper divisors (2506209480).

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

1040416200 is a wasteful number, since it uses less digits than its factorization.

1040416200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1040416200 is about 32255.4832547894. The cubic root of 1040416200 is about 1013.2945386618.

Adding to 1040416200 its reverse (26140401), we get a palindrome (1066556601).

The spelling of 1040416200 in words is "one billion, forty million, four hundred sixteen thousand, two hundred".