9801421660800 has 3456 divisors, whose sum is σ = 45850145402880. Its totient is φ = 1950190387200.

The previous prime is 9801421660783. The next prime is 9801421660817. The reversal of 9801421660800 is 80661241089.

9801421660800 is a `hidden beast` number, since 9 + 8 + 0 + 14 + 21 + 6 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9801421660783) and next prime (9801421660817).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 95159433549 + ... + 95159433651.

It is an arithmetic number, because the mean of its divisors is an integer number (13266824480).

Almost surely, 2^{9801421660800} is an apocalyptic number.

9801421660800 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 9801421660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22925072701440).

9801421660800 is an abundant number, since it is smaller than the sum of its proper divisors (36048723742080).

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

9801421660800 is a wasteful number, since it uses less digits than its factorization.

9801421660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 9801421660800 in words is "nine trillion, eight hundred one billion, four hundred twenty-one million, six hundred sixty thousand, eight hundred".