1000434000000 has 224 divisors, whose sum is σ = 3321730918800. Its totient is φ = 266780800000.

The previous prime is 1000433999977. The next prime is 1000434000023. The reversal of 1000434000000 is 4340001.

It is an interprime number because it is at equal distance from previous prime (1000433999977) and next prime (1000434000023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1000434000000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5916631 + ... + 6083369.

Almost surely, 2^{1000434000000} is an apocalyptic number.

1000434000000 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 1000434000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660865459400).

1000434000000 is an abundant number, since it is smaller than the sum of its proper divisors (2321296918800).

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

1000434000000 is an frugal number, since it uses more digits than its factorization.

1000434000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166786 (or 166749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 1000434000000 its reverse (4340001), we get a palindrome (1000438340001).

The spelling of 1000434000000 in words is "one trillion, four hundred thirty-four million", and thus it is an aban number.