10400214032 has 120 divisors (see below), whose sum is σ = 23488262280. Its totient is φ = 4442480640.

The previous prime is 10400214031. The next prime is 10400214047. The reversal of 10400214032 is 23041200401.

It can be written as a sum of positive squares in 12 ways, for example, as 7914593296 + 2485620736 = 88964^2 + 49856^2 .

It is a super-2 number, since 2×10400214032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10400214032.

It is not an unprimeable number, because it can be changed into a prime (10400214031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2802194 + ... + 2805902.

It is an arithmetic number, because the mean of its divisors is an integer number (195735519).

Almost surely, 2^10400214032 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 10400214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11744131140).

10400214032 is an abundant number, since it is smaller than the sum of its proper divisors (13088048248).

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

10400214032 is a wasteful number, since it uses less digits than its factorization.

10400214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10400214032 its reverse (23041200401), we get a palindrome (33441414433).

The spelling of 10400214032 in words is "ten billion, four hundred million, two hundred fourteen thousand, thirty-two".