6142991400 has 672 divisors, whose sum is σ = 26412476160. Its totient is φ = 1293304320.

The previous prime is 6142991389. The next prime is 6142991401. The reversal of 6142991400 is 41992416.

It is a happy number.

6142991400 is a `hidden beast` number, since 614 + 29 + 9 + 14 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6142991401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13267569 + ... + 13268031.

It is an arithmetic number, because the mean of its divisors is an integer number (39304280).

Almost surely, 2^6142991400 is an apocalyptic number.

6142991400 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 6142991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206238080).

6142991400 is an abundant number, since it is smaller than the sum of its proper divisors (20269484760).

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

6142991400 is a wasteful number, since it uses less digits than its factorization.

6142991400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6142991400 is about 78377.2377670966. The cubic root of 6142991400 is about 1831.4425604839.

The spelling of 6142991400 in words is "six billion, one hundred forty-two million, nine hundred ninety-one thousand, four hundred".