1042146000 has 400 divisors, whose sum is σ = 4306748160. Its totient is φ = 237945600.

The previous prime is 1042145983. The next prime is 1042146011. The reversal of 1042146000 is 6412401.

1042146000 is a `hidden beast` number, since 10 + 42 + 14 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133541 + ... + 1134459.

Almost surely, 2^1042146000 is an apocalyptic number.

1042146000 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 1042146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153374080).

1042146000 is an abundant number, since it is smaller than the sum of its proper divisors (3264602160).

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

1042146000 is an equidigital number, since it uses as much as digits as its factorization.

1042146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042146000 is about 32282.2861643967. The cubic root of 1042146000 is about 1013.8557968669.

Adding to 1042146000 its reverse (6412401), we get a palindrome (1048558401).

The spelling of 1042146000 in words is "one billion, forty-two million, one hundred forty-six thousand".