1004142431000 has 32 divisors (see below), whose sum is σ = 2349693290880. Its totient is φ = 401656972000.

The previous prime is 1004142430999. The next prime is 1004142431003. The reversal of 1004142431000 is 1342414001.

1004142431000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1004142431000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004142431003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502070216 + ... + 502072215.

It is an arithmetic number, because the mean of its divisors is an integer number (73427915340).

Almost surely, 2^{1004142431000} is an apocalyptic number.

1004142431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004142431000 is an abundant number, since it is smaller than the sum of its proper divisors (1345550859880).

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

1004142431000 is a wasteful number, since it uses less digits than its factorization.

1004142431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004142452 (or 1004142438 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1004142431000 its reverse (1342414001), we get a palindrome (1005484845001).

The spelling of 1004142431000 in words is "one trillion, four billion, one hundred forty-two million, four hundred thirty-one thousand".