1949553304920 has 320 divisors, whose sum is σ = 7428125628000. Its totient is φ = 454632486912.

The previous prime is 1949553304903. The next prime is 1949553304927. The reversal of 1949553304920 is 294033559491.

1949553304920 is a `hidden beast` number, since 1 + 9 + 49 + 5 + 533 + 0 + 49 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949553304927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 417765 + ... + 2018324.

Almost surely, 2^{1949553304920} is an apocalyptic number.

1949553304920 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 1949553304920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714062814000).

1949553304920 is an abundant number, since it is smaller than the sum of its proper divisors (5478572323080).

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

1949553304920 is a wasteful number, since it uses less digits than its factorization.

1949553304920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436144 (or 2436131 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 1949553304920 in words is "one trillion, nine hundred forty-nine billion, five hundred fifty-three million, three hundred four thousand, nine hundred twenty".