4342905440640 has 3072 divisors, whose sum is σ = 19381885286400. Its totient is φ = 882895749120.

The previous prime is 4342905440639. The next prime is 4342905440641. The reversal of 4342905440640 is 460445092434.

4342905440640 is a `hidden beast` number, since 4 + 3 + 42 + 9 + 0 + 544 + 0 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4342905440639) and next prime (4342905440641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342905440641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20582490135 + ... + 20582490345.

It is an arithmetic number, because the mean of its divisors is an integer number (6309207450).

Almost surely, 2^{4342905440640} is an apocalyptic number.

4342905440640 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 4342905440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9690942643200).

4342905440640 is an abundant number, since it is smaller than the sum of its proper divisors (15038979845760).

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

4342905440640 is a wasteful number, since it uses less digits than its factorization.

4342905440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 4342905440640 in words is "four trillion, three hundred forty-two billion, nine hundred five million, four hundred forty thousand, six hundred forty".