232221053015040 has 352 divisors, whose sum is σ = 769045927178880. Its totient is φ = 59736592613376.

The previous prime is 232221053015033. The next prime is 232221053015047. The reversal of 232221053015040 is 40510350122232.

It is an interprime number because it is at equal distance from previous prime (232221053015033) and next prime (232221053015047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232221053014989 and 232221053015007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232221053015047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497323119 + ... + 497789841.

Almost surely, 2^{232221053015040} is an apocalyptic number.

232221053015040 is a gapful number since it is divisible by the number (20) 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 232221053015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384522963589440).

232221053015040 is an abundant number, since it is smaller than the sum of its proper divisors (536824874163840).

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

232221053015040 is a wasteful number, since it uses less digits than its factorization.

232221053015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467897 (or 467879 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 232221053015040 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, fifty-three million, fifteen thousand, forty".