9820261440 has 336 divisors, whose sum is σ = 37031005440. Its totient is φ = 2368880640.

The previous prime is 9820261433. The next prime is 9820261459. The reversal of 9820261440 is 441620289.

9820261440 is a `hidden beast` number, since 9 + 8 + 202 + 6 + 1 + 440 = 666.

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 = 9820261395 and 9820261404.

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, 7570872 + ... + 7572168.

Almost surely, 2^9820261440 is an apocalyptic number.

9820261440 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 9820261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515502720).

9820261440 is an abundant number, since it is smaller than the sum of its proper divisors (27210744000).

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

9820261440 is a wasteful number, since it uses less digits than its factorization.

9820261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9820261440 is about 99097.2322519655. The cubic root of 9820261440 is about 2141.4487409628.

The spelling of 9820261440 in words is "nine billion, eight hundred twenty million, two hundred sixty-one thousand, four hundred forty".