1030565342400 has 672 divisors, whose sum is σ = 3869678181888. Its totient is φ = 237679411200.

The previous prime is 1030565342371. The next prime is 1030565342449. The reversal of 1030565342400 is 42435650301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234377002 + ... + 234381398.

Almost surely, 2^{1030565342400} is an apocalyptic number.

1030565342400 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 1030565342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934839090944).

1030565342400 is an abundant number, since it is smaller than the sum of its proper divisors (2839112839488).

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

1030565342400 is a wasteful number, since it uses less digits than its factorization.

1030565342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 1030565342400 in words is "one trillion, thirty billion, five hundred sixty-five million, three hundred forty-two thousand, four hundred".