1139325834240 has 2112 divisors, whose sum is σ = 4866926238720. Its totient is φ = 252468264960.

The previous prime is 1139325834233. The next prime is 1139325834253. The reversal of 1139325834240 is 424385239311.

It is a happy number.

1139325834240 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 325 + 83 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13726817239 + ... + 13726817321.

Almost surely, 2^{1139325834240} is an apocalyptic number.

1139325834240 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 1139325834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433463119360).

1139325834240 is an abundant number, since it is smaller than the sum of its proper divisors (3727600404480).

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

1139325834240 is a wasteful number, since it uses less digits than its factorization.

1139325834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1139325834240 in words is "one trillion, one hundred thirty-nine billion, three hundred twenty-five million, eight hundred thirty-four thousand, two hundred forty".