414441251561040 has 640 divisors, whose sum is σ = 1489037238374400. Its totient is φ = 94362529873920.

The previous prime is 414441251561003. The next prime is 414441251561173. The reversal of 414441251561040 is 40165152144414.

It is a junction number, because it is equal to n+sod(n) for n = 414441251560983 and 414441251561001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3070117866 + ... + 3070252854.

It is an arithmetic number, because the mean of its divisors is an integer number (2326620684960).

Almost surely, 2^{414441251561040} is an apocalyptic number.

414441251561040 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 414441251561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744518619187200).

414441251561040 is an abundant number, since it is smaller than the sum of its proper divisors (1074595986813360).

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

414441251561040 is a wasteful number, since it uses less digits than its factorization.

414441251561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135955 (or 135949 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 414441251561040 in words is "four hundred fourteen trillion, four hundred forty-one billion, two hundred fifty-one million, five hundred sixty-one thousand, forty".