9914365440 has 640 divisors, whose sum is σ = 41608765440. Its totient is φ = 2189721600.

The previous prime is 9914365427. The next prime is 9914365481. The reversal of 9914365440 is 445634199.

9914365440 is a `hidden beast` number, since 9 + 9 + 143 + 65 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 14998710 + ... + 14999370.

It is an arithmetic number, because the mean of its divisors is an integer number (65013696).

Almost surely, 2^9914365440 is an apocalyptic number.

9914365440 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 9914365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20804382720).

9914365440 is an abundant number, since it is smaller than the sum of its proper divisors (31694400000).

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

9914365440 is a wasteful number, since it uses less digits than its factorization.

9914365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9914365440 is about 99570.9065942457. The cubic root of 9914365440 is about 2148.2672492923.

The spelling of 9914365440 in words is "nine billion, nine hundred fourteen million, three hundred sixty-five thousand, four hundred forty".