1049777858304 has 432 divisors, whose sum is σ = 3527528659200. Its totient is φ = 294037438464.

The previous prime is 1049777858293. The next prime is 1049777858309. The reversal of 1049777858304 is 4038587779401.

1049777858304 is a `hidden beast` number, since 1 + 0 + 49 + 7 + 7 + 7 + 8 + 583 + 0 + 4 = 666.

It is a super-2 number, since 2×1049777858304² (a number of 25 digits) contains 22 as substring.

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 (1049777858309) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 398698972 + ... + 398701604.

It is an arithmetic number, because the mean of its divisors is an integer number (8165575600).

Almost surely, 2^{1049777858304} is an apocalyptic number.

1049777858304 is a gapful number since it is divisible by the number (14) 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 1049777858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763764329600).

1049777858304 is an abundant number, since it is smaller than the sum of its proper divisors (2477750800896).

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

1049777858304 is a wasteful number, since it uses less digits than its factorization.

1049777858304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

It can be divided in two parts, 1049777 and 858304, that added together give a triangular number (1908081 = T₁₉₅₃).

The spelling of 1049777858304 in words is "one trillion, forty-nine billion, seven hundred seventy-seven million, eight hundred fifty-eight thousand, three hundred four".