427141693440 has 2040 divisors, whose sum is σ = 2024952578880. Its totient is φ = 84085309440.

The previous prime is 427141693351. The next prime is 427141693493. The reversal of 427141693440 is 44396141724.

427141693440 is a `hidden beast` number, since 4 + 2 + 7 + 141 + 69 + 3 + 440 = 666.

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

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, 22481141751 + ... + 22481141769.

Almost surely, 2^427141693440 is an apocalyptic number.

427141693440 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 427141693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012476289440).

427141693440 is an abundant number, since it is smaller than the sum of its proper divisors (1597810885440).

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

427141693440 is an equidigital number, since it uses as much as digits as its factorization.

427141693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 427141693440 in words is "four hundred twenty-seven billion, one hundred forty-one million, six hundred ninety-three thousand, four hundred forty".