1406420736 has 288 divisors, whose sum is σ = 4611264000. Its totient is φ = 379330560.

The previous prime is 1406420731. The next prime is 1406420747. The reversal of 1406420736 is 6370246041.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1406420697 and 1406420706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406420731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5004916 + ... + 5005196.

Almost surely, 2^1406420736 is an apocalyptic number.

1406420736 is a gapful number since it is divisible by the number (16) 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 1406420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305632000).

1406420736 is an abundant number, since it is smaller than the sum of its proper divisors (3204843264).

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

1406420736 is an equidigital number, since it uses as much as digits as its factorization.

1406420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 1406420736 is about 37502.2764109060. The cubic root of 1406420736 is about 1120.3965262634.

Adding to 1406420736 its reverse (6370246041), we get a palindrome (7776666777).

The spelling of 1406420736 in words is "one billion, four hundred six million, four hundred twenty thousand, seven hundred thirty-six".