1139400024 has 128 divisors (see below), whose sum is σ = 3403814400. Its totient is φ = 310947840.

The previous prime is 1139400007. The next prime is 1139400047. The reversal of 1139400024 is 4200049311.

It is a Cunningham number, because it is equal to 33755²-1.

It is a super-3 number, since 3×1139400024³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1139399967 and 1139400003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 471379 + ... + 473789.

It is an arithmetic number, because the mean of its divisors is an integer number (26592300).

Almost surely, 2^1139400024 is an apocalyptic number.

1139400024 is a gapful number since it is divisible by the number (14) 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 1139400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701907200).

1139400024 is an abundant number, since it is smaller than the sum of its proper divisors (2264414376).

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

1139400024 is a wasteful number, since it uses less digits than its factorization.

1139400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1139400024 is about 33754.9999851874. Note that the first 4 decimals coincide. The cubic root of 1139400024 is about 1044.4606311292.

Adding to 1139400024 its reverse (4200049311), we get a palindrome (5339449335).

The spelling of 1139400024 in words is "one billion, one hundred thirty-nine million, four hundred thousand, twenty-four".