98070445440 has 896 divisors, whose sum is σ = 389389381920. Its totient is φ = 23410114560.

The previous prime is 98070445327. The next prime is 98070445477. The reversal of 98070445440 is 4454407089.

98070445440 is a `hidden beast` number, since 98 + 0 + 70 + 4 + 454 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 111 ways as a sum of consecutive naturals, for example, 497819422 + ... + 497819618.

Almost surely, 2^98070445440 is an apocalyptic number.

98070445440 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 98070445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194694690960).

98070445440 is an abundant number, since it is smaller than the sum of its proper divisors (291318936480).

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

98070445440 is a wasteful number, since it uses less digits than its factorization.

98070445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 98070445440 in words is "ninety-eight billion, seventy million, four hundred forty-five thousand, four hundred forty".