1946125440 has 640 divisors, whose sum is σ = 8246430720. Its totient is φ = 427991040.

The previous prime is 1946125387. The next prime is 1946125451. The reversal of 1946125440 is 445216491.

1946125440 is a `hidden beast` number, since 1 + 94 + 6 + 125 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 1946125395 and 1946125404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11249194 + ... + 11249366.

It is an arithmetic number, because the mean of its divisors is an integer number (12885048).

Almost surely, 2^1946125440 is an apocalyptic number.

1946125440 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 1946125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123215360).

1946125440 is an abundant number, since it is smaller than the sum of its proper divisors (6300305280).

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

1946125440 is a wasteful number, since it uses less digits than its factorization.

1946125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1946125440 is about 44114.9117646176. The cubic root of 1946125440 is about 1248.5049731620.

The spelling of 1946125440 in words is "one billion, nine hundred forty-six million, one hundred twenty-five thousand, four hundred forty".