9414409680 has 800 divisors, whose sum is σ = 37931072256. Its totient is φ = 2145927168.

The previous prime is 9414409661. The next prime is 9414409699. The reversal of 9414409680 is 869044149.

9414409680 is a `hidden beast` number, since 9 + 41 + 440 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9414409661) and next prime (9414409699).

It is a super-2 number, since 2×9414409680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83313304 + ... + 83313416.

Almost surely, 2^9414409680 is an apocalyptic number.

9414409680 is a gapful number since it is divisible by the number (90) 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 9414409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18965536128).

9414409680 is an abundant number, since it is smaller than the sum of its proper divisors (28516662576).

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

9414409680 is a wasteful number, since it uses less digits than its factorization.

9414409680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9414409680 is about 97027.8809415108. The cubic root of 9414409680 is about 2111.5321471431.

The spelling of 9414409680 in words is "nine billion, four hundred fourteen million, four hundred nine thousand, six hundred eighty".