1030512038400 has 1080 divisors, whose sum is σ = 4220742409884. Its totient is φ = 238642790400.

The previous prime is 1030512038329. The next prime is 1030512038429. The reversal of 1030512038400 is 48302150301.

It is a happy number.

1030512038400 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 51 + 203 + 8 + 400 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 171316521216 + 859195517184 = 413904^2 + 926928^2 .

It is a super-2 number, since 2×1030512038400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 432805210 + ... + 432807590.

Almost surely, 2^{1030512038400} is an apocalyptic number.

1030512038400 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 1030512038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110371204942).

1030512038400 is an abundant number, since it is smaller than the sum of its proper divisors (3190230371484).

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

1030512038400 is a wasteful number, since it uses less digits than its factorization.

1030512038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1030512038400 its reverse (48302150301), we get a palindrome (1078814188701).

The spelling of 1030512038400 in words is "one trillion, thirty billion, five hundred twelve million, thirty-eight thousand, four hundred".