4292138276640 has 2304 divisors, whose sum is σ = 17879474995200. Its totient is φ = 965667225600.

The previous prime is 4292138276639. The next prime is 4292138276651. The reversal of 4292138276640 is 466728312924.

It is a happy number.

4292138276640 is a `hidden beast` number, since 429 + 2 + 13 + 82 + 76 + 64 + 0 = 666.

4292138276640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15274513300 + ... + 15274513580.

It is an arithmetic number, because the mean of its divisors is an integer number (7760188800).

Almost surely, 2^{4292138276640} is an apocalyptic number.

4292138276640 is a gapful number since it is divisible by the number (40) 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 4292138276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8939737497600).

4292138276640 is an abundant number, since it is smaller than the sum of its proper divisors (13587336718560).

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

4292138276640 is a wasteful number, since it uses less digits than its factorization.

4292138276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4292138276640 in words is "four trillion, two hundred ninety-two billion, one hundred thirty-eight million, two hundred seventy-six thousand, six hundred forty".