10231520040 has 384 divisors, whose sum is σ = 40445982720. Its totient is φ = 2189721600.

The previous prime is 10231519981. The next prime is 10231520051. The reversal of 10231520040 is 4002513201.

10231520040 is a `hidden beast` number, since 102 + 3 + 1 + 520 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10231519995 and 10231520022.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10323945 + ... + 10324935.

It is an arithmetic number, because the mean of its divisors is an integer number (105328080).

Almost surely, 2^10231520040 is an apocalyptic number.

10231520040 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 10231520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222991360).

10231520040 is an abundant number, since it is smaller than the sum of its proper divisors (30214462680).

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

10231520040 is a wasteful number, since it uses less digits than its factorization.

10231520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 10231520040 in words is "ten billion, two hundred thirty-one million, five hundred twenty thousand, forty".