4121349246240 has 96 divisors (see below), whose sum is σ = 12983464468800. Its totient is φ = 1098923664384.

The previous prime is 4121349246233. The next prime is 4121349246241. The reversal of 4121349246240 is 426429431214.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4121349246192 and 4121349246201.

It is not an unprimeable number, because it can be changed into a prime (4121349246241) by changing a digit.

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, 4805611 + ... + 5597909.

It is an arithmetic number, because the mean of its divisors is an integer number (135244421550).

Almost surely, 2^{4121349246240} is an apocalyptic number.

4121349246240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121349246240 is an abundant number, since it is smaller than the sum of its proper divisors (8862115222560).

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

4121349246240 is a wasteful number, since it uses less digits than its factorization.

4121349246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803154 (or 803146 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 4121349246240 in words is "four trillion, one hundred twenty-one billion, three hundred forty-nine million, two hundred forty-six thousand, two hundred forty".