6131211840 has 896 divisors, whose sum is σ = 26115264000. Its totient is φ = 1345683456.

The previous prime is 6131211839. The next prime is 6131211851. The reversal of 6131211840 is 481121316.

It is a happy number.

6131211840 is a `hidden beast` number, since 613 + 1 + 2 + 1 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 322695351 + ... + 322695369.

It is an arithmetic number, because the mean of its divisors is an integer number (29146500).

Almost surely, 2^6131211840 is an apocalyptic number.

6131211840 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 6131211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057632000).

6131211840 is an abundant number, since it is smaller than the sum of its proper divisors (19984052160).

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

6131211840 is a wasteful number, since it uses less digits than its factorization.

6131211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6131211840 is about 78302.0551454430. The cubic root of 6131211840 is about 1830.2711772285.

It can be divided in two parts, 6 and 131211840, that multiplied together give a triangular number (787271040 = T₃₉₆₈₀).

The spelling of 6131211840 in words is "six billion, one hundred thirty-one million, two hundred eleven thousand, eight hundred forty".