1014778920960 has 512 divisors, whose sum is σ = 4123608998400. Its totient is φ = 231942389760.

The previous prime is 1014778920959. The next prime is 1014778920977. The reversal of 1014778920960 is 690298774101.

1014778920960 is a `hidden beast` number, since 1 + 0 + 1 + 477 + 89 + 2 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1014778920897 and 1014778920906.

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, 30949375 + ... + 30982145.

It is an arithmetic number, because the mean of its divisors is an integer number (8053923825).

Almost surely, 2^{1014778920960} is an apocalyptic number.

1014778920960 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 1014778920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061804499200).

1014778920960 is an abundant number, since it is smaller than the sum of its proper divisors (3108830077440).

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

1014778920960 is an frugal number, since it uses more digits than its factorization.

1014778920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32822 (or 32788 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1014778920960 in words is "one trillion, fourteen billion, seven hundred seventy-eight million, nine hundred twenty thousand, nine hundred sixty".