1642050144 has 288 divisors, whose sum is σ = 5609350656. Its totient is φ = 462827520.

The previous prime is 1642050131. The next prime is 1642050149. The reversal of 1642050144 is 4410502461.

1642050144 is a `hidden beast` number, since 1 + 642 + 0 + 5 + 0 + 14 + 4 = 666.

1642050144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642050149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5279749 + ... + 5280059.

It is an arithmetic number, because the mean of its divisors is an integer number (19476912).

Almost surely, 2^1642050144 is an apocalyptic number.

1642050144 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 1642050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804675328).

1642050144 is an abundant number, since it is smaller than the sum of its proper divisors (3967300512).

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

1642050144 is an equidigital number, since it uses as much as digits as its factorization.

1642050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1642050144 is about 40522.2179057366. The cubic root of 1642050144 is about 1179.7649019327.

It can be divided in two parts, 16420 and 50144, that added together give a square (66564 = 258²).

The spelling of 1642050144 in words is "one billion, six hundred forty-two million, fifty thousand, one hundred forty-four".