10035440035040 has 48 divisors (see below), whose sum is σ = 27095688097632. Its totient is φ = 3440722297344.

The previous prime is 10035440035031. The next prime is 10035440035051. The reversal of 10035440035040 is 4053004453001.

It is a junction number, because it is equal to n+sod(n) for n = 10035440034994 and 10035440035012.

It is a congruent number.

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, 4480106039 + ... + 4480108278.

It is an arithmetic number, because the mean of its divisors is an integer number (564493502034).

Almost surely, 2^{10035440035040} is an apocalyptic number.

10035440035040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10035440035040 is an abundant number, since it is smaller than the sum of its proper divisors (17060248062592).

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

10035440035040 is an equidigital number, since it uses as much as digits as its factorization.

10035440035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960214339 (or 8960214331 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 10035440035040 its reverse (4053004453001), we get a palindrome (14088444488041).

The spelling of 10035440035040 in words is "ten trillion, thirty-five billion, four hundred forty million, thirty-five thousand, forty".