414298998025920 has 168 divisors, whose sum is σ = 1628589632795424. Its totient is φ = 94696913829888.

The previous prime is 414298998025873. The next prime is 414298998025951. The reversal of 414298998025920 is 29520899892414.

414298998025920 is a `hidden beast` number, since 4 + 1 + 4 + 29 + 8 + 9 + 9 + 8 + 0 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×414298998025920³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10275252609 + ... + 10275292928.

Almost surely, 2^{414298998025920} is an apocalyptic number.

414298998025920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414298998025920 is an abundant number, since it is smaller than the sum of its proper divisors (1214290634769504).

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

414298998025920 is a wasteful number, since it uses less digits than its factorization.

414298998025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20550545567 (or 20550545554 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 414298998025920 in words is "four hundred fourteen trillion, two hundred ninety-eight billion, nine hundred ninety-eight million, twenty-five thousand, nine hundred twenty".