10067344400040 has 64 divisors (see below), whose sum is σ = 30387321806400. Its totient is φ = 2668155075072.

The previous prime is 10067344400027. The next prime is 10067344400059. The reversal of 10067344400040 is 4000444376001.

It is a junction number, because it is equal to n+sod(n) for n = 10067344399974 and 10067344400010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257325645 + ... + 257364764.

It is an arithmetic number, because the mean of its divisors is an integer number (474801903225).

Almost surely, 2^{10067344400040} is an apocalyptic number.

10067344400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10067344400040 is an abundant number, since it is smaller than the sum of its proper divisors (20319977406360).

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

10067344400040 is a wasteful number, since it uses less digits than its factorization.

10067344400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514690586 (or 514690582 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 10067344400040 its reverse (4000444376001), we get a palindrome (14067788776041).

The spelling of 10067344400040 in words is "ten trillion, sixty-seven billion, three hundred forty-four million, four hundred thousand, forty".