1406941200 has 360 divisors, whose sum is σ = 5763170816. Its totient is φ = 311040000.

The previous prime is 1406941147. The next prime is 1406941219. The reversal of 1406941200 is 21496041.

It is a tau number, because it is divible by the number of its divisors (360).

It is a nialpdrome in base 12.

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 71 ways as a sum of consecutive naturals, for example, 780300 + ... + 782100.

Almost surely, 2^1406941200 is an apocalyptic number.

1406941200 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 1406941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881585408).

1406941200 is an abundant number, since it is smaller than the sum of its proper divisors (4356229616).

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

1406941200 is a wasteful number, since it uses less digits than its factorization.

1406941200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1406941200 is about 37509.2148678161. The cubic root of 1406941200 is about 1120.5347149117.

The spelling of 1406941200 in words is "one billion, four hundred six million, nine hundred forty-one thousand, two hundred".