32414412400 has 240 divisors, whose sum is σ = 82254311776. Its totient is φ = 12262440960.

The previous prime is 32414412379. The next prime is 32414412421. The reversal of 32414412400 is 421441423.

It is an interprime number because it is at equal distance from previous prime (32414412379) and next prime (32414412421).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96185032 + ... + 96185368.

Almost surely, 2^32414412400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32414412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41127155888).

32414412400 is an abundant number, since it is smaller than the sum of its proper divisors (49839899376).

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

32414412400 is a wasteful number, since it uses less digits than its factorization.

32414412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 32414412400 its reverse (421441423), we get a palindrome (32835853823).

The spelling of 32414412400 in words is "thirty-two billion, four hundred fourteen million, four hundred twelve thousand, four hundred".