1401993216 has 144 divisors (see below), whose sum is σ = 4361437080. Its totient is φ = 431308800.

The previous prime is 1401993191. The next prime is 1401993217. The reversal of 1401993216 is 6123991041.

It is a happy number.

1401993216 is a `hidden beast` number, since 140 + 199 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401993217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236691 + ... + 242541.

Almost surely, 2^1401993216 is an apocalyptic number.

1401993216 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 1401993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180718540).

1401993216 is an abundant number, since it is smaller than the sum of its proper divisors (2959443864).

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

1401993216 is a wasteful number, since it uses less digits than its factorization.

1401993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1401993216 is about 37443.1998632596. The cubic root of 1401993216 is about 1119.2195923986.

The spelling of 1401993216 in words is "one billion, four hundred one million, nine hundred ninety-three thousand, two hundred sixteen".