1078950902400 has 2304 divisors, whose sum is σ = 4978495641600. Its totient is φ = 216782438400.

The previous prime is 1078950902317. The next prime is 1078950902401. The reversal of 1078950902400 is 42090598701.

1078950902400 is a `hidden beast` number, since 1 + 0 + 78 + 95 + 0 + 90 + 2 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1078950902401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3259670235 + ... + 3259670565.

It is an arithmetic number, because the mean of its divisors is an integer number (2160805400).

Almost surely, 2^{1078950902400} is an apocalyptic number.

1078950902400 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 1078950902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489247820800).

1078950902400 is an abundant number, since it is smaller than the sum of its proper divisors (3899544739200).

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

1078950902400 is a wasteful number, since it uses less digits than its factorization.

1078950902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1078950902400 in words is "one trillion, seventy-eight billion, nine hundred fifty million, nine hundred two thousand, four hundred".