1401042400 has 72 divisors (see below), whose sum is σ = 3451888440. Its totient is φ = 555240960.

The previous prime is 1401042397. The next prime is 1401042421. The reversal of 1401042400 is 42401041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 79167 + ... + 95233.

It is an arithmetic number, because the mean of its divisors is an integer number (47942895).

Almost surely, 2^1401042400 is an apocalyptic number.

1401042400 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 1401042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725944220).

1401042400 is an abundant number, since it is smaller than the sum of its proper divisors (2050846040).

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

1401042400 is a wasteful number, since it uses less digits than its factorization.

1401042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16196 (or 16183 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1401042400 is about 37430.5009317268. The cubic root of 1401042400 is about 1118.9665211416.

Adding to 1401042400 its reverse (42401041), we get a palindrome (1443443441).

The spelling of 1401042400 in words is "one billion, four hundred one million, forty-two thousand, four hundred".