1139931833040 has 2880 divisors, whose sum is σ = 5571678389760. Its totient is φ = 212038041600.

The previous prime is 1139931833017. The next prime is 1139931833137. The reversal of 1139931833040 is 403381399311.

1139931833040 is a `hidden beast` number, since 11 + 399 + 3 + 183 + 30 + 40 = 666.

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 575 ways as a sum of consecutive naturals, for example, 6825939037 + ... + 6825939203.

It is an arithmetic number, because the mean of its divisors is an integer number (1934610552).

Almost surely, 2^{1139931833040} is an apocalyptic number.

1139931833040 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 1139931833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785839194880).

1139931833040 is an abundant number, since it is smaller than the sum of its proper divisors (4431746556720).

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

1139931833040 is a wasteful number, since it uses less digits than its factorization.

1139931833040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1139931833040 in words is "one trillion, one hundred thirty-nine billion, nine hundred thirty-one million, eight hundred thirty-three thousand, forty".