1940127840 has 288 divisors, whose sum is σ = 7828591680. Its totient is φ = 428101632.

The previous prime is 1940127823. The next prime is 1940127853. The reversal of 1940127840 is 487210491.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1940127795 and 1940127804.

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, 289002 + ... + 295638.

It is an arithmetic number, because the mean of its divisors is an integer number (27182610).

Almost surely, 2^1940127840 is an apocalyptic number.

1940127840 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 1940127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914295840).

1940127840 is an abundant number, since it is smaller than the sum of its proper divisors (5888463840).

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

1940127840 is a wasteful number, since it uses less digits than its factorization.

1940127840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6694 (or 6683 counting only the distinct ones).

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

The square root of 1940127840 is about 44046.8822960264. The cubic root of 1940127840 is about 1247.2210992800.

The spelling of 1940127840 in words is "one billion, nine hundred forty million, one hundred twenty-seven thousand, eight hundred forty".