9210378240 has 384 divisors, whose sum is σ = 37425024000. Its totient is φ = 2104786944.

The previous prime is 9210378239. The next prime is 9210378259. The reversal of 9210378240 is 428730129.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9210378195 and 9210378204.

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 31 ways as a sum of consecutive naturals, for example, 1932981 + ... + 1937739.

It is an arithmetic number, because the mean of its divisors is an integer number (97461000).

Almost surely, 2^9210378240 is an apocalyptic number.

9210378240 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 9210378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512000).

9210378240 is an abundant number, since it is smaller than the sum of its proper divisors (28214645760).

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

9210378240 is a wasteful number, since it uses less digits than its factorization.

9210378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9210378240 is about 95970.7155334376. The cubic root of 9210378240 is about 2096.1667213885.

The spelling of 9210378240 in words is "nine billion, two hundred ten million, three hundred seventy-eight thousand, two hundred forty".