1034742710400 has 768 divisors, whose sum is σ = 4017286091520. Its totient is φ = 229146624000.

The previous prime is 1034742710399. The next prime is 1034742710461. The reversal of 1034742710400 is 40172474301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 698677660 + ... + 698679140.

It is an arithmetic number, because the mean of its divisors is an integer number (5230841265).

Almost surely, 2^{1034742710400} is an apocalyptic number.

1034742710400 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 1034742710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008643045760).

1034742710400 is an abundant number, since it is smaller than the sum of its proper divisors (2982543381120).

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

1034742710400 is a wasteful number, since it uses less digits than its factorization.

1034742710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 1034742710400 in words is "one trillion, thirty-four billion, seven hundred forty-two million, seven hundred ten thousand, four hundred".