10335697419440 has 80 divisors (see below), whose sum is σ = 24059580272832. Its totient is φ = 4129277709312.

The previous prime is 10335697419391. The next prime is 10335697419491. The reversal of 10335697419440 is 4491479653301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10335697419440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314262677 + ... + 314295563.

Almost surely, 2^{10335697419440} is an apocalyptic number.

10335697419440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10335697419440 is an abundant number, since it is smaller than the sum of its proper divisors (13723882853392).

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

10335697419440 is a wasteful number, since it uses less digits than its factorization.

10335697419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37534 (or 37528 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 10335697419440 in words is "ten trillion, three hundred thirty-five billion, six hundred ninety-seven million, four hundred nineteen thousand, four hundred forty".