4294295029440 has 504 divisors, whose sum is σ = 16135932533760. Its totient is φ = 1047689330688.

The previous prime is 4294295029429. The next prime is 4294295029459. The reversal of 4294295029440 is 449205924924.

4294295029440 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 2 + 9 + 502 + 94 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54960321 + ... + 55038399.

Almost surely, 2^{4294295029440} is an apocalyptic number.

4294295029440 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 4294295029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067966266880).

4294295029440 is an abundant number, since it is smaller than the sum of its proper divisors (11841637504320).

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

4294295029440 is a wasteful number, since it uses less digits than its factorization.

4294295029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78241 (or 78215 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4294295029440 in words is "four trillion, two hundred ninety-four billion, two hundred ninety-five million, twenty-nine thousand, four hundred forty".