10067483040 has 192 divisors, whose sum is σ = 32142458880. Its totient is φ = 2648540160.

The previous prime is 10067483039. The next prime is 10067483053. The reversal of 10067483040 is 4038476001.

It is a junction number, because it is equal to n+sod(n) for n = 10067482992 and 10067483010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14569095 + ... + 14569785.

It is an arithmetic number, because the mean of its divisors is an integer number (167408640).

Almost surely, 2^10067483040 is an apocalyptic number.

10067483040 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 10067483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16071229440).

10067483040 is an abundant number, since it is smaller than the sum of its proper divisors (22074975840).

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

10067483040 is a wasteful number, since it uses less digits than its factorization.

10067483040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 10067483040 in words is "ten billion, sixty-seven million, four hundred eighty-three thousand, forty".