1004151004431 has 16 divisors (see below), whose sum is σ = 1419543302400. Its totient is φ = 629202930048.

The previous prime is 1004151004399. The next prime is 1004151004457. The reversal of 1004151004431 is 1344001514001.

It is a happy number.

It is not a de Polignac number, because 1004151004431 - 2⁵ = 1004151004399 is a prime.

It is a super-2 number, since 2×1004151004431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004151004481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13283851 + ... + 13359228.

It is an arithmetic number, because the mean of its divisors is an integer number (88721456400).

Almost surely, 2^{1004151004431} is an apocalyptic number.

1004151004431 is a deficient number, since it is larger than the sum of its proper divisors (415392297969).

1004151004431 is a wasteful number, since it uses less digits than its factorization.

1004151004431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26643838.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1004151004431 its reverse (1344001514001), we get a palindrome (2348152518432).

The spelling of 1004151004431 in words is "one trillion, four billion, one hundred fifty-one million, four thousand, four hundred thirty-one".