1412024141000 has 192 divisors, whose sum is σ = 3638379654000. Its totient is φ = 512535936000.

The previous prime is 1412024140973. The next prime is 1412024141027. The reversal of 1412024141000 is 1414202141.

It is an interprime number because it is at equal distance from previous prime (1412024140973) and next prime (1412024141027).

It can be written as a sum of positive squares in 8 ways, for example, as 36878593444 + 1375145547556 = 192038^2 + 1172666^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68838746 + ... + 68859254.

Almost surely, 2^{1412024141000} is an apocalyptic number.

1412024141000 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 1412024141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819189827000).

1412024141000 is an abundant number, since it is smaller than the sum of its proper divisors (2226355513000).

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

1412024141000 is a wasteful number, since it uses less digits than its factorization.

1412024141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121 (or 21096 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1412024141000 its reverse (1414202141), we get a palindrome (1413438343141).

The spelling of 1412024141000 in words is "one trillion, four hundred twelve billion, twenty-four million, one hundred forty-one thousand".