1916401400 has 192 divisors, whose sum is σ = 4885401600. Its totient is φ = 696960000.

The previous prime is 1916401391. The next prime is 1916401411. The reversal of 1916401400 is 41046191.

It is a self number, because there is not a number n which added to its sum of digits gives 1916401400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12691325 + ... + 12691475.

It is an arithmetic number, because the mean of its divisors is an integer number (25444800).

Almost surely, 2^1916401400 is an apocalyptic number.

1916401400 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 1916401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442700800).

1916401400 is an abundant number, since it is smaller than the sum of its proper divisors (2969000200).

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

1916401400 is a wasteful number, since it uses less digits than its factorization.

1916401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1916401400 is about 43776.7221248919. The cubic root of 1916401400 is about 1242.1160107138.

Adding to 1916401400 its reverse (41046191), we get a palindrome (1957447591).

The spelling of 1916401400 in words is "one billion, nine hundred sixteen million, four hundred one thousand, four hundred".