1949775081408 has 1344 divisors, whose sum is σ = 7593112576000. Its totient is φ = 489539635200.

The previous prime is 1949775081361. The next prime is 1949775081409. The reversal of 1949775081408 is 8041805779491.

1949775081408 is a `hidden beast` number, since 1 + 9 + 49 + 77 + 508 + 14 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949775081409) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2223232266 + ... + 2223233142.

Almost surely, 2^{1949775081408} is an apocalyptic number.

1949775081408 is a gapful number since it is divisible by the number (18) 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 1949775081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796556288000).

1949775081408 is an abundant number, since it is smaller than the sum of its proper divisors (5643337494592).

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

1949775081408 is a wasteful number, since it uses less digits than its factorization.

1949775081408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 1949775081408 in words is "one trillion, nine hundred forty-nine billion, seven hundred seventy-five million, eighty-one thousand, four hundred eight".