98407898922240 has 576 divisors, whose sum is σ = 357917632692480. Its totient is φ = 25588535132160.

The previous prime is 98407898922233. The next prime is 98407898922253. The reversal of 98407898922240 is 4222989870489.

98407898922240 is a `hidden beast` number, since 9 + 8 + 407 + 8 + 98 + 92 + 2 + 2 + 40 = 666.

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

It is a super-2 number, since 2×98407898922240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2838153544 + ... + 2838188216.

It is an arithmetic number, because the mean of its divisors is an integer number (621384778980).

Almost surely, 2^{98407898922240} is an apocalyptic number.

98407898922240 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 98407898922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178958816346240).

98407898922240 is an abundant number, since it is smaller than the sum of its proper divisors (259509733770240).

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

98407898922240 is a wasteful number, since it uses less digits than its factorization.

98407898922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36747 (or 36727 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 98407898922240 in words is "ninety-eight trillion, four hundred seven billion, eight hundred ninety-eight million, nine hundred twenty-two thousand, two hundred forty".