10321091240040 has 512 divisors, whose sum is σ = 41665589222400. Its totient is φ = 2218506485760.

The previous prime is 10321091240027. The next prime is 10321091240081. The reversal of 10321091240040 is 4004219012301.

It is a happy number.

10321091240040 is a `hidden beast` number, since 1 + 0 + 3 + 210 + 9 + 1 + 2 + 400 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10321091239986 and 10321091240013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158946780 + ... + 159011700.

It is an arithmetic number, because the mean of its divisors is an integer number (81378103950).

Almost surely, 2^{10321091240040} is an apocalyptic number.

10321091240040 is a gapful number since it is divisible by the number (10) 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 10321091240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832794611200).

10321091240040 is an abundant number, since it is smaller than the sum of its proper divisors (31344497982360).

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

10321091240040 is a wasteful number, since it uses less digits than its factorization.

10321091240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66202 (or 66192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10321091240040 in words is "ten trillion, three hundred twenty-one billion, ninety-one million, two hundred forty thousand, forty".