10400342220 has 96 divisors (see below), whose sum is σ = 32659200000. Its totient is φ = 2747489472.

The previous prime is 10400342209. The next prime is 10400342257. The reversal of 10400342220 is 2224300401.

10400342220 is a `hidden beast` number, since 1 + 0 + 400 + 3 + 42 + 220 = 666.

It is a super-2 number, since 2×10400342220² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10400342193 and 10400342202.

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, 32220 + ... + 147779.

It is an arithmetic number, because the mean of its divisors is an integer number (340200000).

Almost surely, 2^10400342220 is an apocalyptic number.

10400342220 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 10400342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600000).

10400342220 is an abundant number, since it is smaller than the sum of its proper divisors (22258857780).

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

10400342220 is a wasteful number, since it uses less digits than its factorization.

10400342220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180124 (or 180116 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10400342220 its reverse (2224300401), we get a palindrome (12624642621).

The spelling of 10400342220 in words is "ten billion, four hundred million, three hundred forty-two thousand, two hundred twenty".