1400841216 has 110 divisors (see below), whose sum is σ = 4183433430. Its totient is φ = 466919424.

The previous prime is 1400841199. The next prime is 1400841217. The reversal of 1400841216 is 6121480041.

It is a happy number.

1400841216 is a `hidden beast` number, since 1 + 400 + 8 + 41 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 829440000 + 571401216 = 28800^2 + 23904^2 .

It is a super-2 number, since 2×1400841216² = 3924712224888717312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1400841216.

It is not an unprimeable number, because it can be changed into a prime (1400841217) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 74500 + ... + 91388.

It is an arithmetic number, because the mean of its divisors is an integer number (38031213).

Almost surely, 2^1400841216 is an apocalyptic number.

1400841216 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 1400841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091716715).

1400841216 is an abundant number, since it is smaller than the sum of its proper divisors (2782592214).

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

1400841216 is an equidigital number, since it uses as much as digits as its factorization.

1400841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16921 (or 16894 counting only the distinct ones).

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

The square root of 1400841216 is about 37427.8134012662. The cubic root of 1400841216 is about 1118.9129588947.

The spelling of 1400841216 in words is "one billion, four hundred million, eight hundred forty-one thousand, two hundred sixteen".