1043213174640 has 480 divisors, whose sum is σ = 4538897825280. Its totient is φ = 208521713664.

The previous prime is 1043213174617. The next prime is 1043213174657. The reversal of 1043213174640 is 464713123401.

1043213174640 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 1 + 3 + 1 + 7 + 4 + 640 = 666.

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 = 1043213174595 and 1043213174604.

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, 825879 + ... + 1663881.

It is an arithmetic number, because the mean of its divisors is an integer number (9456037136).

Almost surely, 2^{1043213174640} is an apocalyptic number.

1043213174640 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 1043213174640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269448912640).

1043213174640 is an abundant number, since it is smaller than the sum of its proper divisors (3495684650640).

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

1043213174640 is a wasteful number, since it uses less digits than its factorization.

1043213174640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838061 (or 838052 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1043213174640 in words is "one trillion, forty-three billion, two hundred thirteen million, one hundred seventy-four thousand, six hundred forty".