98408701440 has 960 divisors, whose sum is σ = 417533276160. Its totient is φ = 21767823360.

The previous prime is 98408701427. The next prime is 98408701451. The reversal of 98408701440 is 4410780489.

98408701440 is a `hidden beast` number, since 98 + 40 + 87 + 0 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 3174474225 + ... + 3174474255.

It is an arithmetic number, because the mean of its divisors is an integer number (434930496).

Almost surely, 2^98408701440 is an apocalyptic number.

98408701440 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 98408701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208766638080).

98408701440 is an abundant number, since it is smaller than the sum of its proper divisors (319124574720).

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

98408701440 is an frugal number, since it uses more digits than its factorization.

98408701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 98408701440 in words is "ninety-eight billion, four hundred eight million, seven hundred one thousand, four hundred forty".