10000076423040 has 384 divisors, whose sum is σ = 37676764569600. Its totient is φ = 2423873433600.

The previous prime is 10000076423021. The next prime is 10000076423069. The reversal of 10000076423040 is 4032467000001.

10000076423040 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 0 + 7 + 642 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 10000076422995 and 10000076423013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726795681 + ... + 726809439.

It is an arithmetic number, because the mean of its divisors is an integer number (98116574400).

Almost surely, 2^{10000076423040} is an apocalyptic number.

10000076423040 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 10000076423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838382284800).

10000076423040 is an abundant number, since it is smaller than the sum of its proper divisors (27676688146560).

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

10000076423040 is a wasteful number, since it uses less digits than its factorization.

10000076423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25266 (or 25251 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10000076423040 in words is "ten trillion, seventy-six million, four hundred twenty-three thousand, forty".