98414209440 has 120 divisors (see below), whose sum is σ = 347320193220. Its totient is φ = 26243785728.

The previous prime is 98414209429. The next prime is 98414209447. The reversal of 98414209440 is 4490241489.

98414209440 is a `hidden beast` number, since 98 + 414 + 20 + 94 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96097520016 + 2316689424 = 309996^2 + 48132^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×98414209440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (98414209447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3783885 + ... + 3809804.

Almost surely, 2^98414209440 is an apocalyptic number.

98414209440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98414209440 is an abundant number, since it is smaller than the sum of its proper divisors (248905983780).

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

98414209440 is a wasteful number, since it uses less digits than its factorization.

98414209440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593716 (or 7593699 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 98414209440 in words is "ninety-eight billion, four hundred fourteen million, two hundred nine thousand, four hundred forty".