10400214000 has 160 divisors (see below), whose sum is σ = 36578730240. Its totient is φ = 2521248000.

The previous prime is 10400213969. The next prime is 10400214017. The reversal of 10400214000 is 41200401.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 12790 + ... + 144789.

It is an arithmetic number, because the mean of its divisors is an integer number (228617064).

Almost surely, 2^10400214000 is an apocalyptic number.

10400214000 is a gapful number since it is divisible by the number (10) 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 10400214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289365120).

10400214000 is an abundant number, since it is smaller than the sum of its proper divisors (26178516240).

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

10400214000 is a wasteful number, since it uses less digits than its factorization.

10400214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157616 (or 157600 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10400214000 its reverse (41200401), we get a palindrome (10441414401).

The spelling of 10400214000 in words is "ten billion, four hundred million, two hundred fourteen thousand".