1430664681000 has 256 divisors, whose sum is σ = 4608383569920. Its totient is φ = 369250560000.

The previous prime is 1430664680999. The next prime is 1430664681007. The reversal of 1430664681000 is 1864660341.

It is a super-4 number, since 4×1430664681000⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1430664681000.

It is not an unprimeable number, because it can be changed into a prime (1430664681007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21167260 + ... + 21234740.

It is an arithmetic number, because the mean of its divisors is an integer number (18001498320).

Almost surely, 2^{1430664681000} is an apocalyptic number.

1430664681000 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 1430664681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304191784960).

1430664681000 is an abundant number, since it is smaller than the sum of its proper divisors (3177718888920).

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

1430664681000 is a wasteful number, since it uses less digits than its factorization.

1430664681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67733 (or 67719 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1430664681000 in words is "one trillion, four hundred thirty billion, six hundred sixty-four million, six hundred eighty-one thousand".