1941174144 has 192 divisors, whose sum is σ = 6875363040. Its totient is φ = 511930368.

The previous prime is 1941174143. The next prime is 1941174149. The reversal of 1941174144 is 4414711491.

1941174144 = T₄₈₂ + T₄₈₃ + ... + T₂₂₇₃.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1941174099 and 1941174108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1941174143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95574 + ... + 114090.

It is a self-describing number.

Almost surely, 2^1941174144 is an apocalyptic number.

1941174144 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 1941174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437681520).

1941174144 is an abundant number, since it is smaller than the sum of its proper divisors (4934188896).

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

1941174144 is a wasteful number, since it uses less digits than its factorization.

1941174144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18557 (or 18542 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 1941174144 is about 44058.7578581149. The cubic root of 1941174144 is about 1247.4452662789.

The spelling of 1941174144 in words is "one billion, nine hundred forty-one million, one hundred seventy-four thousand, one hundred forty-four".