403632720000 has 720 divisors, whose sum is σ = 1509110953350. Its totient is φ = 107495424000.

The previous prime is 403632719999. The next prime is 403632720061. The reversal of 403632720000 is 27236304.

403632720000 is a `hidden beast` number, since 4 + 0 + 3 + 632 + 7 + 20 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1179510336 + 402453209664 = 34344^2 + 634392^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 524879616 + ... + 524880384.

Almost surely, 2^403632720000 is an apocalyptic number.

403632720000 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 403632720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754555476675).

403632720000 is an abundant number, since it is smaller than the sum of its proper divisors (1105478233350).

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

403632720000 is an frugal number, since it uses more digits than its factorization.

403632720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 403632720000 its reverse (27236304), we get a palindrome (403659956304).

The spelling of 403632720000 in words is "four hundred three billion, six hundred thirty-two million, seven hundred twenty thousand".