4226932967040 has 768 divisors, whose sum is σ = 17589850387200. Its totient is φ = 913711104000.

The previous prime is 4226932967039. The next prime is 4226932967051. The reversal of 4226932967040 is 407692396224.

4226932967040 is a `hidden beast` number, since 4 + 226 + 93 + 296 + 7 + 0 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469602540 + ... + 469611540.

It is an arithmetic number, because the mean of its divisors is an integer number (22903451025).

Almost surely, 2^{4226932967040} is an apocalyptic number.

4226932967040 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 4226932967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8794925193600).

4226932967040 is an abundant number, since it is smaller than the sum of its proper divisors (13362917420160).

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

4226932967040 is a wasteful number, since it uses less digits than its factorization.

4226932967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665 (or 9650 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 4226932967040 in words is "four trillion, two hundred twenty-six billion, nine hundred thirty-two million, nine hundred sixty-seven thousand, forty".