4396461000288 has 96 divisors (see below), whose sum is σ = 13270299791616. Its totient is φ = 1248425353728.

The previous prime is 4396461000287. The next prime is 4396461000289. The reversal of 4396461000288 is 8820001646934.

It is an interprime number because it is at equal distance from previous prime (4396461000287) and next prime (4396461000289).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4396461000288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4396461000287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19959031 + ... + 20178102.

It is an arithmetic number, because the mean of its divisors is an integer number (138232289496).

Almost surely, 2^{4396461000288} is an apocalyptic number.

4396461000288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4396461000288 is an abundant number, since it is smaller than the sum of its proper divisors (8873838791328).

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

4396461000288 is a wasteful number, since it uses less digits than its factorization.

4396461000288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40137316 (or 40137308 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 4396461000288 in words is "four trillion, three hundred ninety-six billion, four hundred sixty-one million, two hundred eighty-eight", and thus it is an aban number.