232963407040 has 112 divisors (see below), whose sum is σ = 682762070592. Its totient is φ = 73729069056.

The previous prime is 232963407007. The next prime is 232963407113. The reversal of 232963407040 is 40704369232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 232963406984 and 232963407002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3970939 + ... + 4029178.

It is an arithmetic number, because the mean of its divisors is an integer number (6096089916).

Almost surely, 2^232963407040 is an apocalyptic number.

232963407040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232963407040 is an abundant number, since it is smaller than the sum of its proper divisors (449798663552).

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

232963407040 is a wasteful number, since it uses less digits than its factorization.

232963407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000154 (or 8000144 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

It can be divided in two parts, 2329 and 63407040, that added together give a square (63409369 = 7963²).

The spelling of 232963407040 in words is "two hundred thirty-two billion, nine hundred sixty-three million, four hundred seven thousand, forty".