1005130452400 has 180 divisors, whose sum is σ = 2512932815280. Its totient is φ = 386247052800.

The previous prime is 1005130452371. The next prime is 1005130452413. The reversal of 1005130452400 is 42540315001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 45104461 + ... + 45126739.

Almost surely, 2^{1005130452400} is an apocalyptic number.

1005130452400 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 1005130452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256466407640).

1005130452400 is an abundant number, since it is smaller than the sum of its proper divisors (1507802362880).

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

1005130452400 is a wasteful number, since it uses less digits than its factorization.

1005130452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22444 (or 22390 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1005130452400 its reverse (42540315001), we get a palindrome (1047670767401).

The spelling of 1005130452400 in words is "one trillion, five billion, one hundred thirty million, four hundred fifty-two thousand, four hundred".