1002401400 has 384 divisors, whose sum is σ = 4174732800. Its totient is φ = 192153600.

The previous prime is 1002401371. The next prime is 1002401429. The reversal of 1002401400 is 41042001.

It is an interprime number because it is at equal distance from previous prime (1002401371) and next prime (1002401429).

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 95 ways as a sum of consecutive naturals, for example, 599766 + ... + 601434.

It is an arithmetic number, because the mean of its divisors is an integer number (10871700).

Almost surely, 2^1002401400 is an apocalyptic number.

1002401400 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 1002401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087366400).

1002401400 is an abundant number, since it is smaller than the sum of its proper divisors (3172331400).

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

1002401400 is a wasteful number, since it uses less digits than its factorization.

1002401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1710 counting only the distinct ones).

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

The square root of 1002401400 is about 31660.7233019083. The cubic root of 1002401400 is about 1000.7998267732.

Adding to 1002401400 its reverse (41042001), we get a palindrome (1043443401).

The spelling of 1002401400 in words is "one billion, two million, four hundred one thousand, four hundred".