4229073917640 has 512 divisors, whose sum is σ = 16913807769600. Its totient is φ = 926229150720.

The previous prime is 4229073917603. The next prime is 4229073917671. The reversal of 4229073917640 is 467193709224.

4229073917640 is a `hidden beast` number, since 422 + 9 + 0 + 7 + 3 + 9 + 176 + 40 = 666.

4229073917640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6967369 + ... + 7549991.

It is an arithmetic number, because the mean of its divisors is an integer number (33034780800).

Almost surely, 2^{4229073917640} is an apocalyptic number.

4229073917640 is a gapful number since it is divisible by the number (40) 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 4229073917640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456903884800).

4229073917640 is an abundant number, since it is smaller than the sum of its proper divisors (12684733851960).

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

4229073917640 is a wasteful number, since it uses less digits than its factorization.

4229073917640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582714 (or 582704 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 4229073917640 in words is "four trillion, two hundred twenty-nine billion, seventy-three million, nine hundred seventeen thousand, six hundred forty".