427354705440 has 288 divisors, whose sum is σ = 1574202180096. Its totient is φ = 104948951040.

The previous prime is 427354705409. The next prime is 427354705447. The reversal of 427354705440 is 44507453724.

427354705440 is a `hidden beast` number, since 4 + 2 + 7 + 35 + 4 + 70 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×427354705440³ (a number of 36 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (427354705447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8041837 + ... + 8094803.

It is an arithmetic number, because the mean of its divisors is an integer number (5465979792).

Almost surely, 2^427354705440 is an apocalyptic number.

427354705440 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 427354705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787101090048).

427354705440 is an abundant number, since it is smaller than the sum of its proper divisors (1146847474656).

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

427354705440 is a wasteful number, since it uses less digits than its factorization.

427354705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53432 (or 53421 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 427354705440 in words is "four hundred twenty-seven billion, three hundred fifty-four million, seven hundred five thousand, four hundred forty".