1134407393280 has 1792 divisors, whose sum is σ = 4952331878400. Its totient is φ = 240789749760.

The previous prime is 1134407393279. The next prime is 1134407393281. The reversal of 1134407393280 is 823937044311.

1134407393280 is a `hidden beast` number, since 1 + 134 + 407 + 3 + 9 + 32 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1134407393279) and next prime (1134407393281).

It is a tau number, because it is divible by the number of its divisors (1792).

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 (1134407393281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6959554479 + ... + 6959554641.

Almost surely, 2^{1134407393280} is an apocalyptic number.

1134407393280 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 1134407393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476165939200).

1134407393280 is an abundant number, since it is smaller than the sum of its proper divisors (3817924485120).

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

1134407393280 is a wasteful number, since it uses less digits than its factorization.

1134407393280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1134407393280 in words is "one trillion, one hundred thirty-four billion, four hundred seven million, three hundred ninety-three thousand, two hundred eighty".