1649003400000 has 2688 divisors, whose sum is σ = 7406165975040. Its totient is φ = 354816000000.

The previous prime is 1649003399959. The next prime is 1649003400013. The reversal of 1649003400000 is 43009461.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 23225399965 + ... + 23225400035.

It is an arithmetic number, because the mean of its divisors is an integer number (2755270080).

Almost surely, 2^{1649003400000} is an apocalyptic number.

1649003400000 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 1649003400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703082987520).

1649003400000 is an abundant number, since it is smaller than the sum of its proper divisors (5757162575040).

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

1649003400000 is a wasteful number, since it uses less digits than its factorization.

1649003400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1649003400000 its reverse (43009461), we get a palindrome (1649046409461).

The spelling of 1649003400000 in words is "one trillion, six hundred forty-nine billion, three million, four hundred thousand".