100402413244432 has 160 divisors (see below), whose sum is σ = 228677970673152. Its totient is φ = 42273604657152.

The previous prime is 100402413244421. The next prime is 100402413244559. The reversal of 100402413244432 is 234442314204001.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32949853 + ... + 35867779.

Almost surely, 2^{100402413244432} 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 100402413244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114338985336576).

100402413244432 is an abundant number, since it is smaller than the sum of its proper divisors (128275557428720).

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

100402413244432 is a wasteful number, since it uses less digits than its factorization.

100402413244432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918265 (or 2918259 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 100402413244432 its reverse (234442314204001), we get a palindrome (334844727448433).

The spelling of 100402413244432 in words is "one hundred trillion, four hundred two billion, four hundred thirteen million, two hundred forty-four thousand, four hundred thirty-two".