9725905440 has 192 divisors, whose sum is σ = 35832585600. Its totient is φ = 2457050112.

The previous prime is 9725905439. The next prime is 9725905457. The reversal of 9725905440 is 445095279.

9725905440 is a `hidden beast` number, since 9 + 7 + 2 + 590 + 54 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22834 + ... + 141326.

It is an arithmetic number, because the mean of its divisors is an integer number (186628050).

Almost surely, 2^9725905440 is an apocalyptic number.

9725905440 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 9725905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17916292800).

9725905440 is an abundant number, since it is smaller than the sum of its proper divisors (26106680160).

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

9725905440 is a wasteful number, since it uses less digits than its factorization.

9725905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118536 (or 118522 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 9725905440 is about 98620.0052727640. The cubic root of 9725905440 is about 2134.5680972522.

The spelling of 9725905440 in words is "nine billion, seven hundred twenty-five million, nine hundred five thousand, four hundred forty".