1401244004000 has 96 divisors (see below), whose sum is σ = 3445768662336. Its totient is φ = 560023507200.

The previous prime is 1401244003997. The next prime is 1401244004003. The reversal of 1401244004000 is 4004421041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1401244003997) and next prime (1401244004003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1401244004003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4600439 + ... + 4895561.

It is an arithmetic number, because the mean of its divisors is an integer number (35893423566).

Almost surely, 2^{1401244004000} is an apocalyptic number.

1401244004000 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 1401244004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722884331168).

1401244004000 is an abundant number, since it is smaller than the sum of its proper divisors (2044524658336).

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

1401244004000 is a wasteful number, since it uses less digits than its factorization.

1401244004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296335 (or 296317 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1401244004000 its reverse (4004421041), we get a palindrome (1405248425041).

The spelling of 1401244004000 in words is "one trillion, four hundred one billion, two hundred forty-four million, four thousand".