1406880000 has 270 divisors, whose sum is σ = 5074042974. Its totient is φ = 374784000.

The previous prime is 1406879993. The next prime is 1406880019. The reversal of 1406880000 is 886041.

It can be written as a sum of positive squares in 5 ways, for example, as 225720576 + 1181159424 = 15024^2 + 34368^2 .

It is a super-2 number, since 2×1406880000² = 3958622668800000000, which contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 1439512 + ... + 1440488.

Almost surely, 2^1406880000 is an apocalyptic number.

1406880000 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 1406880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537021487).

1406880000 is an abundant number, since it is smaller than the sum of its proper divisors (3667162974).

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

1406880000 is an frugal number, since it uses more digits than its factorization.

1406880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1406880000 is about 37508.3990594107. The cubic root of 1406880000 is about 1120.5184674384.

The spelling of 1406880000 in words is "one billion, four hundred six million, eight hundred eighty thousand".