1939142400 has 432 divisors, whose sum is σ = 7313219424. Its totient is φ = 448266240.

The previous prime is 1939142399. The next prime is 1939142441. The reversal of 1939142400 is 42419391.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4242972 + ... + 4243428.

Almost surely, 2^1939142400 is an apocalyptic number.

1939142400 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 1939142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656609712).

1939142400 is an abundant number, since it is smaller than the sum of its proper divisors (5374077024).

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

1939142400 is a wasteful number, since it uses less digits than its factorization.

1939142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1939142400 is about 44035.6946124391. The cubic root of 1939142400 is about 1247.0098984708.

The spelling of 1939142400 in words is "one billion, nine hundred thirty-nine million, one hundred forty-two thousand, four hundred".