1251461042004 has 96 divisors (see below), whose sum is σ = 3113918640000. Its totient is φ = 389814476800.

The previous prime is 1251461042003. The next prime is 1251461042071. The reversal of 1251461042004 is 4002401641521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251461042003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85131847 + ... + 85146545.

It is an arithmetic number, because the mean of its divisors is an integer number (32436652500).

Almost surely, 2^{1251461042004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251461042004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556959320000).

1251461042004 is an abundant number, since it is smaller than the sum of its proper divisors (1862457597996).

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

1251461042004 is a wasteful number, since it uses less digits than its factorization.

1251461042004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17673 (or 17671 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1251461042004 its reverse (4002401641521), we get a palindrome (5253862683525).

The spelling of 1251461042004 in words is "one trillion, two hundred fifty-one billion, four hundred sixty-one million, forty-two thousand, four".