1914210144 has 576 divisors, whose sum is σ = 7396945920. Its totient is φ = 472158720.

The previous prime is 1914210139. The next prime is 1914210241. The reversal of 1914210144 is 4410124191.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13771227 + ... + 13771365.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 2^1914210144 is an apocalyptic number.

1914210144 is a gapful number since it is divisible by the number (14) 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 1914210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698472960).

1914210144 is an abundant number, since it is smaller than the sum of its proper divisors (5482735776).

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

1914210144 is a wasteful number, since it uses less digits than its factorization.

1914210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1914210144 is about 43751.6873274620. The cubic root of 1914210144 is about 1241.6424091313.

The spelling of 1914210144 in words is "one billion, nine hundred fourteen million, two hundred ten thousand, one hundred forty-four".