6131125440 has 448 divisors, whose sum is σ = 24368394240. Its totient is φ = 1437696000.

The previous prime is 6131125381. The next prime is 6131125453. The reversal of 6131125440 is 445211316.

It is a happy number.

6131125440 is a `hidden beast` number, since 6 + 1 + 3 + 112 + 544 + 0 = 666.

It is a super-2 number, since 2×6131125440² = 75181398322030387200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2945200 + ... + 2947280.

Almost surely, 2^6131125440 is an apocalyptic number.

6131125440 is a gapful number since it is divisible by the number (60) 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 6131125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184197120).

6131125440 is an abundant number, since it is smaller than the sum of its proper divisors (18237268800).

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

6131125440 is a wasteful number, since it uses less digits than its factorization.

6131125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6131125440 is about 78301.5034338422. The cubic root of 6131125440 is about 1830.2625798975.

Adding to 6131125440 its reverse (445211316), we get a palindrome (6576336756).

The spelling of 6131125440 in words is "six billion, one hundred thirty-one million, one hundred twenty-five thousand, four hundred forty".