1420167540 has 192 divisors, whose sum is σ = 4612608000. Its totient is φ = 322859520.

The previous prime is 1420167527. The next prime is 1420167611. The reversal of 1420167540 is 457610241.

1420167540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1420167498 and 1420167507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1366341 + ... + 1367379.

It is an arithmetic number, because the mean of its divisors is an integer number (24024000).

Almost surely, 2^1420167540 is an apocalyptic number.

1420167540 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 1420167540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306304000).

1420167540 is an abundant number, since it is smaller than the sum of its proper divisors (3192440460).

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

1420167540 is a wasteful number, since it uses less digits than its factorization.

1420167540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1420167540 is about 37685.1103222480. The cubic root of 1420167540 is about 1124.0350679062.

Adding to 1420167540 its reverse (457610241), we get a palindrome (1877777781).

The spelling of 1420167540 in words is "one billion, four hundred twenty million, one hundred sixty-seven thousand, five hundred forty".