1640680290144 has 240 divisors, whose sum is σ = 5556612289536. Its totient is φ = 465186758400.

The previous prime is 1640680290121. The next prime is 1640680290173. The reversal of 1640680290144 is 4410920860461.

1640680290144 is a `hidden beast` number, since 1 + 6 + 406 + 80 + 29 + 0 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1640680290144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2031729 + ... + 2721999.

Almost surely, 2^{1640680290144} is an apocalyptic number.

1640680290144 is a gapful number since it is divisible by the number (14) 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 1640680290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778306144768).

1640680290144 is an abundant number, since it is smaller than the sum of its proper divisors (3915931999392).

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

1640680290144 is a wasteful number, since it uses less digits than its factorization.

1640680290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690431 (or 690414 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1640680290144 in words is "one trillion, six hundred forty billion, six hundred eighty million, two hundred ninety thousand, one hundred forty-four".