9849047040 has 576 divisors, whose sum is σ = 40782268800. Its totient is φ = 2248114176.

The previous prime is 9849047029. The next prime is 9849047123. The reversal of 9849047040 is 407409489.

9849047040 is a `hidden beast` number, since 98 + 4 + 90 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×9849047040² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13547157 + ... + 13547883.

It is an arithmetic number, because the mean of its divisors is an integer number (70802550).

Almost surely, 2^9849047040 is an apocalyptic number.

9849047040 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 9849047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20391134400).

9849047040 is an abundant number, since it is smaller than the sum of its proper divisors (30933221760).

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

9849047040 is a wasteful number, since it uses less digits than its factorization.

9849047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9849047040 is about 99242.3651471487. The cubic root of 9849047040 is about 2143.5390707364.

It can be divided in two parts, 98490 and 47040, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 9849047040 in words is "nine billion, eight hundred forty-nine million, forty-seven thousand, forty".