414780098423040 has 3456 divisors, whose sum is σ = 1769581939507200. Its totient is φ = 91078722846720.

The previous prime is 414780098422999. The next prime is 414780098423137. The reversal of 414780098423040 is 40324890087414.

414780098423040 is a `hidden beast` number, since 4 + 1 + 478 + 0 + 0 + 98 + 42 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1735481583241 + ... + 1735481583479.

It is an arithmetic number, because the mean of its divisors is an integer number (512031811200).

Almost surely, 2^{414780098423040} is an apocalyptic number.

414780098423040 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 414780098423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884790969753600).

414780098423040 is an abundant number, since it is smaller than the sum of its proper divisors (1354801841084160).

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

414780098423040 is a wasteful number, since it uses less digits than its factorization.

414780098423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 414780098423040 in words is "four hundred fourteen trillion, seven hundred eighty billion, ninety-eight million, four hundred twenty-three thousand, forty".