9801400320 has 576 divisors, whose sum is σ = 37663226640. Its totient is φ = 2353004544.

The previous prime is 9801400291. The next prime is 9801400327. The reversal of 9801400320 is 230041089.

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

It is a super-2 number, since 2×9801400320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9801400327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 426147829 + ... + 426147851.

Almost surely, 2^9801400320 is an apocalyptic number.

9801400320 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 9801400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831613320).

9801400320 is an abundant number, since it is smaller than the sum of its proper divisors (27861826320).

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

9801400320 is a wasteful number, since it uses less digits than its factorization.

9801400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9801400320 is about 99002.0217975370. The cubic root of 9801400320 is about 2140.0768831376.

The spelling of 9801400320 in words is "nine billion, eight hundred one million, four hundred thousand, three hundred twenty".