428727349440 has 392 divisors, whose sum is σ = 1648415050128. Its totient is φ = 105532139520.

The previous prime is 428727349439. The next prime is 428727349451. The reversal of 428727349440 is 44943727824.

428727349440 is a `hidden beast` number, since 4 + 2 + 87 + 2 + 73 + 494 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2961955 + ... + 3103325.

It is an arithmetic number, because the mean of its divisors is an integer number (4205140434).

Almost surely, 2^428727349440 is an apocalyptic number.

428727349440 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 428727349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824207525064).

428727349440 is an abundant number, since it is smaller than the sum of its proper divisors (1219687700688).

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

428727349440 is a wasteful number, since it uses less digits than its factorization.

428727349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141419 (or 141394 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 428727349440 in words is "four hundred twenty-eight billion, seven hundred twenty-seven million, three hundred forty-nine thousand, four hundred forty".