1640914556112 has 240 divisors, whose sum is σ = 5000727932928. Its totient is φ = 499288043520.

The previous prime is 1640914556107. The next prime is 1640914556117. The reversal of 1640914556112 is 2116554190461.

1640914556112 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 91 + 4 + 556 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1640914556107) and next prime (1640914556117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640914556117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73927288 + ... + 73949480.

Almost surely, 2^{1640914556112} is an apocalyptic number.

1640914556112 is a gapful number since it is divisible by the number (12) 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 1640914556112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500363966464).

1640914556112 is an abundant number, since it is smaller than the sum of its proper divisors (3359813376816).

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

1640914556112 is a wasteful number, since it uses less digits than its factorization.

1640914556112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22658 (or 22649 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1640914556112 in words is "one trillion, six hundred forty billion, nine hundred fourteen million, five hundred fifty-six thousand, one hundred twelve".