1406220120 has 192 divisors, whose sum is σ = 4679082720. Its totient is φ = 366170112.

The previous prime is 1406220089. The next prime is 1406220157. The reversal of 1406220120 is 210226041.

1406220120 is a `hidden beast` number, since 1 + 40 + 622 + 0 + 1 + 2 + 0 = 666.

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 = 1406220093 and 1406220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4172592 + ... + 4172928.

Almost surely, 2^1406220120 is an apocalyptic number.

1406220120 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 1406220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339541360).

1406220120 is an abundant number, since it is smaller than the sum of its proper divisors (3272862600).

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

1406220120 is a wasteful number, since it uses less digits than its factorization.

1406220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1406220120 is about 37499.6015978837. The cubic root of 1406220120 is about 1120.3432515091.

Adding to 1406220120 its reverse (210226041), we get a palindrome (1616446161).

The spelling of 1406220120 in words is "one billion, four hundred six million, two hundred twenty thousand, one hundred twenty".