9401202720 has 864 divisors, whose sum is σ = 41425373808. Its totient is φ = 1922973696.

The previous prime is 9401202667. The next prime is 9401202731. The reversal of 9401202720 is 272021049.

It can be written as a sum of positive squares in 8 ways, for example, as 2721082896 + 6680119824 = 52164^2 + 81732^2 .

It is a super-2 number, since 2×9401202720² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33939222 + ... + 33939498.

Almost surely, 2^9401202720 is an apocalyptic number.

9401202720 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 9401202720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712686904).

9401202720 is an abundant number, since it is smaller than the sum of its proper divisors (32024171088).

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

9401202720 is a wasteful number, since it uses less digits than its factorization.

9401202720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 9401202720 is about 96959.7995047432. The cubic root of 9401202720 is about 2110.5443007788.

Adding to 9401202720 its reverse (272021049), we get a palindrome (9673223769).

The spelling of 9401202720 in words is "nine billion, four hundred one million, two hundred two thousand, seven hundred twenty".