9973211040 has 144 divisors (see below), whose sum is σ = 36651619368. Its totient is φ = 2454939648.

The previous prime is 9973211021. The next prime is 9973211069. The reversal of 9973211040 is 401123799.

It can be written as a sum of positive squares in 4 ways, for example, as 5423438736 + 4549772304 = 73644^2 + 67452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9973210986 and 9973211004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247659 + ... + 285098.

Almost surely, 2^9973211040 is an apocalyptic number.

9973211040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9973211040 is an abundant number, since it is smaller than the sum of its proper divisors (26678408328).

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

9973211040 is a wasteful number, since it uses less digits than its factorization.

9973211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532791 (or 532780 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9973211040 is about 99865.9653735946. The cubic root of 9973211040 is about 2152.5091340610.

The spelling of 9973211040 in words is "nine billion, nine hundred seventy-three million, two hundred eleven thousand, forty".