8381774525040 has 720 divisors, whose sum is σ = 35128330080480. Its totient is φ = 1849764833280.

The previous prime is 8381774524993. The next prime is 8381774525057. The reversal of 8381774525040 is 405254771838.

8381774525040 is a `hidden beast` number, since 8 + 3 + 8 + 1 + 7 + 74 + 525 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27472530 + ... + 27775950.

It is an arithmetic number, because the mean of its divisors is an integer number (48789347334).

Almost surely, 2^{8381774525040} is an apocalyptic number.

8381774525040 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 8381774525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564165040240).

8381774525040 is an abundant number, since it is smaller than the sum of its proper divisors (26746555555440).

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

8381774525040 is a wasteful number, since it uses less digits than its factorization.

8381774525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303492 (or 303467 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 8381774525040 in words is "eight trillion, three hundred eighty-one billion, seven hundred seventy-four million, five hundred twenty-five thousand, forty".