9241874677440 has 672 divisors, whose sum is σ = 34139616166656. Its totient is φ = 2378112307200.

The previous prime is 9241874677391. The next prime is 9241874677447. The reversal of 9241874677440 is 447764781429.

It is a happy number.

9241874677440 is a `hidden beast` number, since 9 + 2 + 4 + 1 + 87 + 46 + 77 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (9241874677447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277508790 + ... + 277542090.

It is an arithmetic number, because the mean of its divisors is an integer number (50803000248).

Almost surely, 2^{9241874677440} is an apocalyptic number.

9241874677440 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 9241874677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17069808083328).

9241874677440 is an abundant number, since it is smaller than the sum of its proper divisors (24897741489216).

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

9241874677440 is a wasteful number, since it uses less digits than its factorization.

9241874677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33459 (or 33437 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 9241874677440 in words is "nine trillion, two hundred forty-one billion, eight hundred seventy-four million, six hundred seventy-seven thousand, four hundred forty".