1043345522240 has 280 divisors, whose sum is σ = 2906830295040. Its totient is φ = 356675042304.

The previous prime is 1043345522227. The next prime is 1043345522243. The reversal of 1043345522240 is 422255433401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1043345522240.

It is not an unprimeable number, because it can be changed into a prime (1043345522243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291191489 + ... + 291195071.

It is an arithmetic number, because the mean of its divisors is an integer number (10381536768).

Almost surely, 2^{1043345522240} is an apocalyptic number.

1043345522240 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 1043345522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453415147520).

1043345522240 is an abundant number, since it is smaller than the sum of its proper divisors (1863484772800).

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

1043345522240 is an frugal number, since it uses more digits than its factorization.

1043345522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 1043345522240 in words is "one trillion, forty-three billion, three hundred forty-five million, five hundred twenty-two thousand, two hundred forty".