414021250053440 has 112 divisors (see below), whose sum is σ = 991085115193344. Its totient is φ = 164735572684800.

The previous prime is 414021250053373. The next prime is 414021250053443. The reversal of 414021250053440 is 44350052120414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414021250053440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414021250053443) 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, 1982689517 + ... + 1982898323.

Almost surely, 2^{414021250053440} is an apocalyptic number.

414021250053440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414021250053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495542557596672).

414021250053440 is an abundant number, since it is smaller than the sum of its proper divisors (577063865139904).

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

414021250053440 is a wasteful number, since it uses less digits than its factorization.

414021250053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241456 (or 241446 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 414021250053440 in words is "four hundred fourteen trillion, twenty-one billion, two hundred fifty million, fifty-three thousand, four hundred forty".