1078441967400 has 384 divisors, whose sum is σ = 3939099310080. Its totient is φ = 238917841920.

The previous prime is 1078441967333. The next prime is 1078441967429. The reversal of 1078441967400 is 47691448701.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40857007 + ... + 40883393.

It is an arithmetic number, because the mean of its divisors is an integer number (10258071120).

Almost surely, 2^{1078441967400} is an apocalyptic number.

1078441967400 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 1078441967400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969549655040).

1078441967400 is an abundant number, since it is smaller than the sum of its proper divisors (2860657342680).

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

1078441967400 is a wasteful number, since it uses less digits than its factorization.

1078441967400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26713 (or 26704 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 1078441967400 in words is "one trillion, seventy-eight billion, four hundred forty-one million, nine hundred sixty-seven thousand, four hundred".