4294455459840 has 2160 divisors, whose sum is σ = 19439618913792. Its totient is φ = 898948399104.

The previous prime is 4294455459839. The next prime is 4294455459869. The reversal of 4294455459840 is 489545544924.

4294455459840 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 4 + 5 + 545 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33814609857 + ... + 33814609983.

Almost surely, 2^{4294455459840} is an apocalyptic number.

4294455459840 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 4294455459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9719809456896).

4294455459840 is an abundant number, since it is smaller than the sum of its proper divisors (15145163453952).

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

4294455459840 is an equidigital number, since it uses as much as digits as its factorization.

4294455459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 4294455459840 in words is "four trillion, two hundred ninety-four billion, four hundred fifty-five million, four hundred fifty-nine thousand, eight hundred forty".