4292764040448 has 216 divisors, whose sum is σ = 13332976904520. Its totient is φ = 1320474378240.

The previous prime is 4292764040429. The next prime is 4292764040479. The reversal of 4292764040448 is 8440404672924.

4292764040448 is a `hidden beast` number, since 4 + 2 + 92 + 76 + 4 + 0 + 40 + 448 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 596404041984 + 3696359998464 = 772272^2 + 1922592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4292764040394 and 4292764040403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116225248 + ... + 116262176.

Almost surely, 2^{4292764040448} is an apocalyptic number.

4292764040448 is a gapful number since it is divisible by the number (48) 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 4292764040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666488452260).

4292764040448 is an abundant number, since it is smaller than the sum of its proper divisors (9040212864072).

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

4292764040448 is a wasteful number, since it uses less digits than its factorization.

4292764040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40845 (or 40828 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 4292764040448 in words is "four trillion, two hundred ninety-two billion, seven hundred sixty-four million, forty thousand, four hundred forty-eight".