1077073411440 has 160 divisors (see below), whose sum is σ = 3599039646720. Its totient is φ = 264884548608.

The previous prime is 1077073411423. The next prime is 1077073411471. The reversal of 1077073411440 is 441143707701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3284871 + ... + 3597849.

It is an arithmetic number, because the mean of its divisors is an integer number (22493997792).

Almost surely, 2^{1077073411440} is an apocalyptic number.

1077073411440 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 1077073411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799519823360).

1077073411440 is an abundant number, since it is smaller than the sum of its proper divisors (2521966235280).

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

1077073411440 is a wasteful number, since it uses less digits than its factorization.

1077073411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314111 (or 314105 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 1077073411440 in words is "one trillion, seventy-seven billion, seventy-three million, four hundred eleven thousand, four hundred forty".