1420791840 has 336 divisors, whose sum is σ = 5425538328. Its totient is φ = 349360128.

The previous prime is 1420791761. The next prime is 1420791851. The reversal of 1420791840 is 481970241.

It can be written as a sum of positive squares in 4 ways, for example, as 499790736 + 921001104 = 22356^2 + 30348^2 .

It is a super-2 number, since 2×1420791840² = 4037298905221171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1420791795 and 1420791804.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1515852 + ... + 1516788.

Almost surely, 2^1420791840 is an apocalyptic number.

1420791840 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 1420791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712769164).

1420791840 is an abundant number, since it is smaller than the sum of its proper divisors (4004746488).

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

1420791840 is an equidigital number, since it uses as much as digits as its factorization.

1420791840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1420791840 is about 37693.3925244200. The cubic root of 1420791840 is about 1124.1997508917.

The spelling of 1420791840 in words is "one billion, four hundred twenty million, seven hundred ninety-one thousand, eight hundred forty".