1914942400 has 168 divisors, whose sum is σ = 5531831456. Its totient is φ = 638668800.

The previous prime is 1914942397. The next prime is 1914942427. The reversal of 1914942400 is 42494191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412090 + ... + 416710.

Almost surely, 2^1914942400 is an apocalyptic number.

1914942400 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 1914942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765915728).

1914942400 is an abundant number, since it is smaller than the sum of its proper divisors (3616889056).

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

1914942400 is a wasteful number, since it uses less digits than its factorization.

1914942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1914942400 is about 43760.0548445726. The cubic root of 1914942400 is about 1241.8007136235.

The spelling of 1914942400 in words is "one billion, nine hundred fourteen million, nine hundred forty-two thousand, four hundred".