1940082480 has 360 divisors, whose sum is σ = 7656509952. Its totient is φ = 438939648.

The previous prime is 1940082479. The next prime is 1940082481. The reversal of 1940082480 is 842800491.

1940082480 is a `hidden beast` number, since 1 + 9 + 400 + 8 + 248 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1940082479) and next prime (1940082481).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×1940082480³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1940082481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4480344 + ... + 4480776.

Almost surely, 2^1940082480 is an apocalyptic number.

1940082480 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 1940082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828254976).

1940082480 is an abundant number, since it is smaller than the sum of its proper divisors (5716427472).

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

1940082480 is a wasteful number, since it uses less digits than its factorization.

1940082480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1940082480 is about 44046.3673871070. The cubic root of 1940082480 is about 1247.2113792349.

The spelling of 1940082480 in words is "one billion, nine hundred forty million, eighty-two thousand, four hundred eighty".