9795421440 has 864 divisors, whose sum is σ = 41197228800. Its totient is φ = 2145927168.

The previous prime is 9795421423. The next prime is 9795421451. The reversal of 9795421440 is 441245979.

9795421440 is a `hidden beast` number, since 97 + 9 + 542 + 14 + 4 + 0 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146200287 + ... + 146200353.

Almost surely, 2^9795421440 is an apocalyptic number.

9795421440 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 9795421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20598614400).

9795421440 is an abundant number, since it is smaller than the sum of its proper divisors (31401807360).

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

9795421440 is a wasteful number, since it uses less digits than its factorization.

9795421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9795421440 is about 98971.8214442879. The cubic root of 9795421440 is about 2139.6416437822.

The spelling of 9795421440 in words is "nine billion, seven hundred ninety-five million, four hundred twenty-one thousand, four hundred forty".