1043145705600 has 576 divisors, whose sum is σ = 3787095780000. Its totient is φ = 273350246400.

The previous prime is 1043145705593. The next prime is 1043145705671. The reversal of 1043145705600 is 65075413401.

1043145705600 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 45 + 7 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1043145705600² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 695893651 + ... + 695895149.

Almost surely, 2^{1043145705600} is an apocalyptic number.

1043145705600 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 1043145705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893547890000).

1043145705600 is an abundant number, since it is smaller than the sum of its proper divisors (2743950074400).

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

1043145705600 is a wasteful number, since it uses less digits than its factorization.

1043145705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1043145705600 in words is "one trillion, forty-three billion, one hundred forty-five million, seven hundred five thousand, six hundred".