414105140553200 has 240 divisors, whose sum is σ = 1053725973221376. Its totient is φ = 156062456140800.

The previous prime is 414105140553173. The next prime is 414105140553259. The reversal of 414105140553200 is 2355041501414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10769105174 + ... + 10769143626.

Almost surely, 2^{414105140553200} is an apocalyptic number.

414105140553200 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 414105140553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526862986610688).

414105140553200 is an abundant number, since it is smaller than the sum of its proper divisors (639620832668176).

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

414105140553200 is a wasteful number, since it uses less digits than its factorization.

414105140553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56032 (or 56021 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 414105140553200 in words is "four hundred fourteen trillion, one hundred five billion, one hundred forty million, five hundred fifty-three thousand, two hundred".