1000952400000 has 1152 divisors, whose sum is σ = 4005952977600. Its totient is φ = 220523520000.

The previous prime is 1000952399999. The next prime is 1000952400037. The reversal of 1000952400000 is 42590001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1000952400000.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1705199707 + ... + 1705200293.

Almost surely, 2^{1000952400000} is an apocalyptic number.

1000952400000 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 1000952400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002976488800).

1000952400000 is an abundant number, since it is smaller than the sum of its proper divisors (3005000577600).

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

1000952400000 is an frugal number, since it uses more digits than its factorization.

1000952400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 1000952400000 its reverse (42590001), we get a palindrome (1000994990001).

The spelling of 1000952400000 in words is "one trillion, nine hundred fifty-two million, four hundred thousand".