414020521003120 has 80 divisors (see below), whose sum is σ = 993722291988480. Its totient is φ = 160254227232000.

The previous prime is 414020521003097. The next prime is 414020521003157. The reversal of 414020521003120 is 21300125020414.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27646045 + ... + 39904195.

It is an arithmetic number, because the mean of its divisors is an integer number (12421528649856).

Almost surely, 2^{414020521003120} is an apocalyptic number.

414020521003120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414020521003120 is an abundant number, since it is smaller than the sum of its proper divisors (579701770985360).

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

414020521003120 is a wasteful number, since it uses less digits than its factorization.

414020521003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271814 (or 12271808 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 414020521003120 its reverse (21300125020414), we get a palindrome (435320646023534).

The spelling of 414020521003120 in words is "four hundred fourteen trillion, twenty billion, five hundred twenty-one million, three thousand, one hundred twenty".