32420102400 has 324 divisors, whose sum is σ = 132469285312. Its totient is φ = 7410216960.

The previous prime is 32420102389. The next prime is 32420102417. The reversal of 32420102400 is 420102423.

32420102400 is a `hidden beast` number, since 3 + 2 + 420 + 1 + 0 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 362997 + ... + 443403.

Almost surely, 2^32420102400 is an apocalyptic number.

32420102400 is a gapful number since it is divisible by the number (30) 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 32420102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66234642656).

32420102400 is an abundant number, since it is smaller than the sum of its proper divisors (100049182912).

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

32420102400 is a wasteful number, since it uses less digits than its factorization.

32420102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80446 (or 80424 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 32420102400 its reverse (420102423), we get a palindrome (32840204823).

The spelling of 32420102400 in words is "thirty-two billion, four hundred twenty million, one hundred two thousand, four hundred".