1046429442000 has 480 divisors, whose sum is σ = 3795708309120. Its totient is φ = 278642073600.

The previous prime is 1046429441999. The next prime is 1046429442041. The reversal of 1046429442000 is 2449246401.

It is a happy number.

1046429442000 is a `hidden beast` number, since 1 + 0 + 4 + 642 + 9 + 4 + 4 + 2 + 0 + 0 + 0 = 666.

1046429442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 495232944 + ... + 495235056.

It is an arithmetic number, because the mean of its divisors is an integer number (7907725644).

Almost surely, 2^{1046429442000} is an apocalyptic number.

1046429442000 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 1046429442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897854154560).

1046429442000 is an abundant number, since it is smaller than the sum of its proper divisors (2749278867120).

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

1046429442000 is a wasteful number, since it uses less digits than its factorization.

1046429442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1046429442000 in words is "one trillion, forty-six billion, four hundred twenty-nine million, four hundred forty-two thousand".