1640285942400 has 768 divisors, whose sum is σ = 6921562348800. Its totient is φ = 371589120000.

The previous prime is 1640285942381. The next prime is 1640285942459. The reversal of 1640285942400 is 42495820461.

It is a happy number.

1640285942400 is a `hidden beast` number, since 1 + 6 + 40 + 285 + 94 + 240 + 0 = 666.

It is a super-2 number, since 2×1640285942400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68330400 + ... + 68354400.

It is an arithmetic number, because the mean of its divisors is an integer number (9012450975).

Almost surely, 2^{1640285942400} is an apocalyptic number.

1640285942400 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 1640285942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460781174400).

1640285942400 is an abundant number, since it is smaller than the sum of its proper divisors (5281276406400).

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

1640285942400 is a wasteful number, since it uses less digits than its factorization.

1640285942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24154 (or 24131 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1640285942400 in words is "one trillion, six hundred forty billion, two hundred eighty-five million, nine hundred forty-two thousand, four hundred".