1045043735040 has 640 divisors, whose sum is σ = 3770362252800. Its totient is φ = 274338938880.

The previous prime is 1045043735039. The next prime is 1045043735063. The reversal of 1045043735040 is 405373405401.

1045043735040 is a `hidden beast` number, since 1 + 0 + 45 + 0 + 43 + 73 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 1045043734986 and 1045043735004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1630333120 + ... + 1630333760.

It is an arithmetic number, because the mean of its divisors is an integer number (5891191020).

Almost surely, 2^{1045043735040} is an apocalyptic number.

1045043735040 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 1045043735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885181126400).

1045043735040 is an abundant number, since it is smaller than the sum of its proper divisors (2725318517760).

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

1045043735040 is a wasteful number, since it uses less digits than its factorization.

1045043735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 1045043735040 in words is "one trillion, forty-five billion, forty-three million, seven hundred thirty-five thousand, forty".