1078517514240 has 720 divisors, whose sum is σ = 4106578537152. Its totient is φ = 270601814016.

The previous prime is 1078517514229. The next prime is 1078517514247. The reversal of 1078517514240 is 424157158701.

1078517514240 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 517 + 51 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078517514247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338409927 + ... + 338413113.

Almost surely, 2^{1078517514240} is an apocalyptic number.

1078517514240 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 1078517514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053289268576).

1078517514240 is an abundant number, since it is smaller than the sum of its proper divisors (3028061022912).

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

1078517514240 is an frugal number, since it uses more digits than its factorization.

1078517514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 1078517514240 in words is "one trillion, seventy-eight billion, five hundred seventeen million, five hundred fourteen thousand, two hundred forty".