456201640000 has 70 divisors (see below), whose sum is σ = 1131231900854. Its totient is φ = 182480640000.

The previous prime is 456201639997. The next prime is 456201640001. The reversal of 456201640000 is 46102654.

It can be written as a sum of positive squares in 5 ways, for example, as 118649935936 + 337551704064 = 344456^2 + 580992^2 .

It is not an unprimeable number, because it can be changed into a prime (456201640001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5662521 + ... + 5742520.

Almost surely, 2^456201640000 is an apocalyptic number.

456201640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456201640000 is an abundant number, since it is smaller than the sum of its proper divisors (675030260854).

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

456201640000 is an equidigital number, since it uses as much as digits as its factorization.

456201640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405073 (or 11405048 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 456201640000 its reverse (46102654), we get a palindrome (456247742654).

The spelling of 456201640000 in words is "four hundred fifty-six billion, two hundred one million, six hundred forty thousand".