640056119040 has 648 divisors, whose sum is σ = 2517214452480. Its totient is φ = 149247442944.

The previous prime is 640056119039. The next prime is 640056119041. The reversal of 640056119040 is 40911650046.

640056119040 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 561 + 1 + 90 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (640056119039) and next prime (640056119041).

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 = 640056118986 and 640056119004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640056119041) 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, 54057441 + ... + 54069279.

Almost surely, 2^640056119040 is an apocalyptic number.

640056119040 is a gapful number since it is divisible by the number (60) 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 640056119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258607226240).

640056119040 is an abundant number, since it is smaller than the sum of its proper divisors (1877158333440).

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

640056119040 is a wasteful number, since it uses less digits than its factorization.

640056119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11917 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 640056119040 its reverse (40911650046), we get a palindrome (680967769086).

The spelling of 640056119040 in words is "six hundred forty billion, fifty-six million, one hundred nineteen thousand, forty".