98978221440 has 768 divisors, whose sum is σ = 416254101120. Its totient is φ = 21155807232.

The previous prime is 98978221439. The next prime is 98978221471. The reversal of 98978221440 is 4412287989.

98978221440 is a `hidden beast` number, since 98 + 97 + 8 + 2 + 21 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135031314 + ... + 135032046.

Almost surely, 2^98978221440 is an apocalyptic number.

98978221440 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 98978221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208127050560).

98978221440 is an abundant number, since it is smaller than the sum of its proper divisors (317275879680).

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

98978221440 is a wasteful number, since it uses less digits than its factorization.

98978221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 98978221440 in words is "ninety-eight billion, nine hundred seventy-eight million, two hundred twenty-one thousand, four hundred forty".