32400402000 has 160 divisors (see below), whose sum is σ = 110603885184. Its totient is φ = 8131840000.

The previous prime is 32400401993. The next prime is 32400402007. The reversal of 32400402000 is 20400423.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32400401993) and next prime (32400402007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32400402007) 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, 56826 + ... + 260825.

Almost surely, 2^32400402000 is an apocalyptic number.

32400402000 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 32400402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55301942592).

32400402000 is an abundant number, since it is smaller than the sum of its proper divisors (78203483184).

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

32400402000 is a wasteful number, since it uses less digits than its factorization.

32400402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317694 (or 317678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 32400402000 its reverse (20400423), we get a palindrome (32420802423).

The spelling of 32400402000 in words is "thirty-two billion, four hundred million, four hundred two thousand".