427748106240 has 1344 divisors, whose sum is σ = 1875469220352. Its totient is φ = 87765811200.

The previous prime is 427748106221. The next prime is 427748106259. The reversal of 427748106240 is 42601847724.

427748106240 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 4 + 8 + 10 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (427748106221) and next prime (427748106259).

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 1375395685 + ... + 1375395995.

It is an arithmetic number, because the mean of its divisors is an integer number (1395438408).

Almost surely, 2^427748106240 is an apocalyptic number.

427748106240 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 427748106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937734610176).

427748106240 is an abundant number, since it is smaller than the sum of its proper divisors (1447721114112).

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

427748106240 is a wasteful number, since it uses less digits than its factorization.

427748106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 427748106240 in words is "four hundred twenty-seven billion, seven hundred forty-eight million, one hundred six thousand, two hundred forty".