8272241510400 has 1440 divisors, whose sum is σ = 35546541750720. Its totient is φ = 1862139248640.

The previous prime is 8272241510399. The next prime is 8272241510443. The reversal of 8272241510400 is 40151422728.

8272241510400 is a `hidden beast` number, since 8 + 2 + 7 + 2 + 241 + 5 + 1 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1945034674 + ... + 1945038926.

It is an arithmetic number, because the mean of its divisors is an integer number (24685098438).

Almost surely, 2^{8272241510400} is an apocalyptic number.

8272241510400 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 8272241510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773270875360).

8272241510400 is an abundant number, since it is smaller than the sum of its proper divisors (27274300240320).

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

8272241510400 is a wasteful number, since it uses less digits than its factorization.

8272241510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 8272241510400 in words is "eight trillion, two hundred seventy-two billion, two hundred forty-one million, five hundred ten thousand, four hundred".