1050461610000 has 400 divisors, whose sum is σ = 3736050931008. Its totient is φ = 252128000000.

The previous prime is 1050461609963. The next prime is 1050461610017. The reversal of 1050461610000 is 161640501.

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

It is a super-2 number, since 2×1050461610000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33314242 + ... + 33345758.

Almost surely, 2^{1050461610000} is an apocalyptic number.

1050461610000 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 1050461610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868025465504).

1050461610000 is an abundant number, since it is smaller than the sum of its proper divisors (2685589321008).

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

1050461610000 is a wasteful number, since it uses less digits than its factorization.

1050461610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31660 (or 31639 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 1050461610000 in words is "one trillion, fifty billion, four hundred sixty-one million, six hundred ten thousand".