1401204000 has 288 divisors, whose sum is σ = 5342029056. Its totient is φ = 320140800.

The previous prime is 1401203989. The next prime is 1401204017. The reversal of 1401204000 is 4021041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586809 + ... + 589191.

It is an arithmetic number, because the mean of its divisors is an integer number (18548712).

Almost surely, 2^1401204000 is an apocalyptic number.

1401204000 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 1401204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671014528).

1401204000 is an abundant number, since it is smaller than the sum of its proper divisors (3940825056).

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

1401204000 is a wasteful number, since it uses less digits than its factorization.

1401204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1401204000 is about 37432.6595368269. The cubic root of 1401204000 is about 1119.0095410240.

Adding to 1401204000 its reverse (4021041), we get a palindrome (1405225041).

The spelling of 1401204000 in words is "one billion, four hundred one million, two hundred four thousand".