432002001040000 has 320 divisors, whose sum is σ = 1089318836390400. Its totient is φ = 170572147200000.

The previous prime is 432002001039929. The next prime is 432002001040007. The reversal of 432002001040000 is 40100200234.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×432002001040000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (432002001040007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50250315702 + ... + 50250324298.

It is an arithmetic number, because the mean of its divisors is an integer number (3404121363720).

Almost surely, 2^{432002001040000} is an apocalyptic number.

432002001040000 is a gapful number since it is divisible by the number (40) 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 432002001040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544659418195200).

432002001040000 is an abundant number, since it is smaller than the sum of its proper divisors (657316835350400).

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

432002001040000 is an frugal number, since it uses more digits than its factorization.

432002001040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16661 (or 16634 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 432002001040000 its reverse (40100200234), we get a palindrome (432042101240234).

The spelling of 432002001040000 in words is "four hundred thirty-two trillion, two billion, one million, forty thousand".