9618781415040 has 640 divisors, whose sum is σ = 40611360873600. Its totient is φ = 2122763231232.

The previous prime is 9618781414867. The next prime is 9618781415051. The reversal of 9618781415040 is 405141878169.

9618781415040 is a `hidden beast` number, since 9 + 6 + 18 + 7 + 81 + 41 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10066507 + ... + 10980533.

It is an arithmetic number, because the mean of its divisors is an integer number (63455251365).

Almost surely, 2^{9618781415040} is an apocalyptic number.

9618781415040 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 9618781415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20305680436800).

9618781415040 is an abundant number, since it is smaller than the sum of its proper divisors (30992579458560).

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

9618781415040 is a wasteful number, since it uses less digits than its factorization.

9618781415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914094 (or 914073 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 9618781415040 in words is "nine trillion, six hundred eighteen billion, seven hundred eighty-one million, four hundred fifteen thousand, forty".