34403114001040 has 40 divisors (see below), whose sum is σ = 82149057358200. Its totient is φ = 13389320042496.

The previous prime is 34403114001037. The next prime is 34403114001107. The reversal of 34403114001040 is 4010041130443.

It can be written as a sum of positive squares in 4 ways, for example, as 4149417888144 + 30253696112896 = 2037012^2 + 5500336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34403114000996 and 34403114001014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5811333865 + ... + 5811339784.

It is an arithmetic number, because the mean of its divisors is an integer number (2053726433955).

Almost surely, 2^{34403114001040} is an apocalyptic number.

It is an amenable number.

34403114001040 is an abundant number, since it is smaller than the sum of its proper divisors (47745943357160).

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

34403114001040 is a wasteful number, since it uses less digits than its factorization.

34403114001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11622673699 (or 11622673693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34403114001040 its reverse (4010041130443), we get a palindrome (38413155131483).

The spelling of 34403114001040 in words is "thirty-four trillion, four hundred three billion, one hundred fourteen million, one thousand, forty".