988947343440 has 240 divisors, whose sum is σ = 3796859664000. Its totient is φ = 225974504448.

The previous prime is 988947343421. The next prime is 988947343441. The reversal of 988947343440 is 44343749889.

988947343440 is a `hidden beast` number, since 9 + 8 + 8 + 94 + 73 + 434 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×988947343440² (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 not an unprimeable number, because it can be changed into a prime (988947343441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17051611 + ... + 17109509.

It is an arithmetic number, because the mean of its divisors is an integer number (15820248600).

Almost surely, 2^988947343440 is an apocalyptic number.

988947343440 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 988947343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898429832000).

988947343440 is an abundant number, since it is smaller than the sum of its proper divisors (2807912320560).

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

988947343440 is a wasteful number, since it uses less digits than its factorization.

988947343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61314 (or 61305 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 988947343440 in words is "nine hundred eighty-eight billion, nine hundred forty-seven million, three hundred forty-three thousand, four hundred forty".