8952290605440 has 3072 divisors, whose sum is σ = 41990876928000. Its totient is φ = 1780339212288.

The previous prime is 8952290605397. The next prime is 8952290605441. The reversal of 8952290605440 is 445060922598.

8952290605440 is a `hidden beast` number, since 8 + 9 + 5 + 2 + 2 + 90 + 6 + 0 + 544 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8952290605441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45443099422 + ... + 45443099618.

It is an arithmetic number, because the mean of its divisors is an integer number (13668905250).

Almost surely, 2^{8952290605440} is an apocalyptic number.

8952290605440 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 8952290605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995438464000).

8952290605440 is an abundant number, since it is smaller than the sum of its proper divisors (33038586322560).

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

8952290605440 is a wasteful number, since it uses less digits than its factorization.

8952290605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 8952290605440 in words is "eight trillion, nine hundred fifty-two billion, two hundred ninety million, six hundred five thousand, four hundred forty".