1077451998480 has 1920 divisors, whose sum is σ = 4690099814400. Its totient is φ = 217678233600.

The previous prime is 1077451998451. The next prime is 1077451998487. The reversal of 1077451998480 is 848991547701.

1077451998480 is a `hidden beast` number, since 1 + 0 + 7 + 74 + 519 + 9 + 8 + 48 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1077451998487) 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 383 ways as a sum of consecutive naturals, for example, 6610134879 + ... + 6610135041.

It is an arithmetic number, because the mean of its divisors is an integer number (2442760320).

Almost surely, 2^{1077451998480} is an apocalyptic number.

1077451998480 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 1077451998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345049907200).

1077451998480 is an abundant number, since it is smaller than the sum of its proper divisors (3612647815920).

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

1077451998480 is a wasteful number, since it uses less digits than its factorization.

1077451998480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

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

The spelling of 1077451998480 in words is "one trillion, seventy-seven billion, four hundred fifty-one million, nine hundred ninety-eight thousand, four hundred eighty".