98127469440 has 2560 divisors, whose sum is σ = 493648404480. Its totient is φ = 17915904000.

The previous prime is 98127469397. The next prime is 98127469511. The reversal of 98127469440 is 4496472189.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1608647010 + ... + 1608647070.

It is an arithmetic number, because the mean of its divisors is an integer number (192831408).

Almost surely, 2^98127469440 is an apocalyptic number.

98127469440 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 98127469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246824202240).

98127469440 is an abundant number, since it is smaller than the sum of its proper divisors (395520935040).

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

98127469440 is a wasteful number, since it uses less digits than its factorization.

98127469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 98127469440 in words is "ninety-eight billion, one hundred twenty-seven million, four hundred sixty-nine thousand, four hundred forty".