1134702006400 has 192 divisors, whose sum is σ = 2848486435200. Its totient is φ = 446553497600.

The previous prime is 1134702006323. The next prime is 1134702006421. The reversal of 1134702006400 is 46002074311.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114276636 + ... + 114286564.

It is an arithmetic number, because the mean of its divisors is an integer number (14835866850).

Almost surely, 2^{1134702006400} is an apocalyptic number.

1134702006400 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 1134702006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424243217600).

1134702006400 is an abundant number, since it is smaller than the sum of its proper divisors (1713784428800).

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

1134702006400 is an equidigital number, since it uses as much as digits as its factorization.

1134702006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10527 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 1134702006400 in words is "one trillion, one hundred thirty-four billion, seven hundred two million, six thousand, four hundred".