98420429053440 has 1920 divisors, whose sum is σ = 404774202792960. Its totient is φ = 21867786141696.

The previous prime is 98420429053403. The next prime is 98420429053489. The reversal of 98420429053440 is 4435092402489.

98420429053440 is a `hidden beast` number, since 9 + 8 + 4 + 2 + 0 + 4 + 290 + 5 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37041936592 + ... + 37041939248.

It is an arithmetic number, because the mean of its divisors is an integer number (210819897288).

Almost surely, 2^{98420429053440} is an apocalyptic number.

98420429053440 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 98420429053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202387101396480).

98420429053440 is an abundant number, since it is smaller than the sum of its proper divisors (306353773739520).

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

98420429053440 is a wasteful number, since it uses less digits than its factorization.

98420429053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 98420429053440 in words is "ninety-eight trillion, four hundred twenty billion, four hundred twenty-nine million, fifty-three thousand, four hundred forty".