10400033441432 has 128 divisors (see below), whose sum is σ = 21735476928000. Its totient is φ = 4644245652480.

The previous prime is 10400033441401. The next prime is 10400033441467. The reversal of 10400033441432 is 23414433000401.

It is a happy number.

It is a super-3 number, since 3×10400033441432³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 10400033441395 and 10400033441404.

It is a congruent number.

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, 681023957 + ... + 681039227.

It is an arithmetic number, because the mean of its divisors is an integer number (169808413500).

Almost surely, 2^{10400033441432} is an apocalyptic number.

It is an amenable number.

10400033441432 is an abundant number, since it is smaller than the sum of its proper divisors (11335443486568).

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

10400033441432 is a wasteful number, since it uses less digits than its factorization.

10400033441432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18961 (or 18957 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10400033441432 its reverse (23414433000401), we get a palindrome (33814466441833).

The spelling of 10400033441432 in words is "ten trillion, four hundred billion, thirty-three million, four hundred forty-one thousand, four hundred thirty-two".