14121790470240 has 48 divisors (see below), whose sum is σ = 44483639982768. Its totient is φ = 3765810791936.

The previous prime is 14121790470211. The next prime is 14121790470283. The reversal of 14121790470240 is 4207409712141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14121790470240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14121790470192 and 14121790470201.

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, 14710197927 + ... + 14710198886.

It is an arithmetic number, because the mean of its divisors is an integer number (926742499641).

Almost surely, 2^{14121790470240} is an apocalyptic number.

14121790470240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14121790470240 is an abundant number, since it is smaller than the sum of its proper divisors (30361849512528).

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

14121790470240 is a wasteful number, since it uses less digits than its factorization.

14121790470240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29420396831 (or 29420396823 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 14121790470240 in words is "fourteen trillion, one hundred twenty-one billion, seven hundred ninety million, four hundred seventy thousand, two hundred forty".