1949281809120 has 576 divisors, whose sum is σ = 7008077905920. Its totient is φ = 511579680768.

The previous prime is 1949281809091. The next prime is 1949281809169. The reversal of 1949281809120 is 219081829491.

1949281809120 is a `hidden beast` number, since 19 + 492 + 8 + 18 + 0 + 9 + 120 = 666.

It is a super-2 number, since 2×1949281809120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1176391332 + ... + 1176392988.

It is an arithmetic number, because the mean of its divisors is an integer number (12166801920).

Almost surely, 2^{1949281809120} is an apocalyptic number.

1949281809120 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 1949281809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504038952960).

1949281809120 is an abundant number, since it is smaller than the sum of its proper divisors (5058796096800).

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

1949281809120 is a wasteful number, since it uses less digits than its factorization.

1949281809120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 1949281809120 in words is "one trillion, nine hundred forty-nine billion, two hundred eighty-one million, eight hundred nine thousand, one hundred twenty".