1004142000 has 160 divisors (see below), whose sum is σ = 3271379904. Its totient is φ = 264960000.

The previous prime is 1004141993. The next prime is 1004142011. The reversal of 1004142000 is 2414001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605172 + ... + 606828.

Almost surely, 2^1004142000 is an apocalyptic number.

1004142000 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 1004142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635689952).

1004142000 is an abundant number, since it is smaller than the sum of its proper divisors (2267237904).

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

1004142000 is a wasteful number, since it uses less digits than its factorization.

1004142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1004142000 is about 31688.1996964170. The cubic root of 1004142000 is about 1001.3787648006.

Adding to 1004142000 its reverse (2414001), we get a palindrome (1006556001).

The spelling of 1004142000 in words is "one billion, four million, one hundred forty-two thousand".