1401114000 has 640 divisors, whose sum is σ = 5615640576. Its totient is φ = 295680000.

The previous prime is 1401113999. The next prime is 1401114019. The reversal of 1401114000 is 4111041.

It is a Harshad number since it is a multiple of its sum of digits (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 127 ways as a sum of consecutive naturals, for example, 19733965 + ... + 19734035.

Almost surely, 2^1401114000 is an apocalyptic number.

1401114000 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 1401114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807820288).

1401114000 is an abundant number, since it is smaller than the sum of its proper divisors (4214526576).

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

1401114000 is a wasteful number, since it uses less digits than its factorization.

1401114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1401114000 is about 37431.4573587511. The cubic root of 1401114000 is about 1118.9855823392.

Adding to 1401114000 its reverse (4111041), we get a palindrome (1405225041).

The spelling of 1401114000 in words is "one billion, four hundred one million, one hundred fourteen thousand".