10096413411840 has 640 divisors, whose sum is σ = 37170989475840. Its totient is φ = 2290119671808.

The previous prime is 10096413411839. The next prime is 10096413411863. The reversal of 10096413411840 is 4811431469001.

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 10096413411792 and 10096413411801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4092586287 + ... + 4092588753.

It is an arithmetic number, because the mean of its divisors is an integer number (58079671056).

Almost surely, 2^{10096413411840} is an apocalyptic number.

10096413411840 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 10096413411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18585494737920).

10096413411840 is an abundant number, since it is smaller than the sum of its proper divisors (27074576064000).

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

10096413411840 is a wasteful number, since it uses less digits than its factorization.

10096413411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 10096413411840 in words is "ten trillion, ninety-six billion, four hundred thirteen million, four hundred eleven thousand, eight hundred forty".