1401216400 has 60 divisors (see below), whose sum is σ = 3393052672. Its totient is φ = 556053120.

The previous prime is 1401216379. The next prime is 1401216431. The reversal of 1401216400 is 46121041.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37009 + ... + 64591.

Almost surely, 2^1401216400 is an apocalyptic number.

1401216400 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 1401216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696526336).

1401216400 is an abundant number, since it is smaller than the sum of its proper divisors (1991836272).

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

1401216400 is a wasteful number, since it uses less digits than its factorization.

1401216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27728 (or 27717 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1401216400 is about 37432.8251672246. The cubic root of 1401216400 is about 1119.0128419179.

Adding to 1401216400 its reverse (46121041), we get a palindrome (1447337441).

The spelling of 1401216400 in words is "one billion, four hundred one million, two hundred sixteen thousand, four hundred".