1045177780416 has 1344 divisors, whose sum is σ = 3906808381440. Its totient is φ = 244716595200.

The previous prime is 1045177780399. The next prime is 1045177780433. The reversal of 1045177780416 is 6140877715401.

It is an interprime number because it is at equal distance from previous prime (1045177780399) and next prime (1045177780433).

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

It is a super-3 number, since 3×1045177780416³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5472134881 + ... + 5472135071.

Almost surely, 2^{1045177780416} is an apocalyptic number.

1045177780416 is a gapful number since it is divisible by the number (16) 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 1045177780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953404190720).

1045177780416 is an abundant number, since it is smaller than the sum of its proper divisors (2861630601024).

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

1045177780416 is a wasteful number, since it uses less digits than its factorization.

1045177780416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 51.

The spelling of 1045177780416 in words is "one trillion, forty-five billion, one hundred seventy-seven million, seven hundred eighty thousand, four hundred sixteen".