8902801938240 has 1120 divisors, whose sum is σ = 36626635229184. Its totient is φ = 2010701905920.

The previous prime is 8902801938221. The next prime is 8902801938301. The reversal of 8902801938240 is 428391082098.

8902801938240 is a `hidden beast` number, since 8 + 90 + 280 + 1 + 9 + 38 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5681429937 + ... + 5681431503.

Almost surely, 2^{8902801938240} is an apocalyptic number.

8902801938240 is a gapful number since it is divisible by the number (80) 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 8902801938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18313317614592).

8902801938240 is an abundant number, since it is smaller than the sum of its proper divisors (27723833290944).

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

8902801938240 is a wasteful number, since it uses less digits than its factorization.

8902801938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 8902801938240 in words is "eight trillion, nine hundred two billion, eight hundred one million, nine hundred thirty-eight thousand, two hundred forty".