10010846039040 has 2112 divisors, whose sum is σ = 45424644894720. Its totient is φ = 2053481103360.

The previous prime is 10010846038993. The next prime is 10010846039071. The reversal of 10010846039040 is 4093064801001.

10010846039040 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 8 + 4 + 603 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10010846038986 and 10010846039004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7951425931 + ... + 7951427189.

Almost surely, 2^{10010846039040} is an apocalyptic number.

10010846039040 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 10010846039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22712322447360).

10010846039040 is an abundant number, since it is smaller than the sum of its proper divisors (35413798855680).

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

10010846039040 is a wasteful number, since it uses less digits than its factorization.

10010846039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10010846039040 in words is "ten trillion, ten billion, eight hundred forty-six million, thirty-nine thousand, forty".