988318679040 has 1440 divisors, whose sum is σ = 4464595497600. Its totient is φ = 205117194240.

The previous prime is 988318678987. The next prime is 988318679053. The reversal of 988318679040 is 40976813889.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×988318679040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1192181346 + ... + 1192182174.

It is an arithmetic number, because the mean of its divisors is an integer number (3100413540).

Almost surely, 2^988318679040 is an apocalyptic number.

988318679040 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 988318679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232297748800).

988318679040 is an abundant number, since it is smaller than the sum of its proper divisors (3476276818560).

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

988318679040 is a wasteful number, since it uses less digits than its factorization.

988318679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 988318679040 in words is "nine hundred eighty-eight billion, three hundred eighteen million, six hundred seventy-nine thousand, forty".