42914627280 has 1440 divisors, whose sum is σ = 193726529280. Its totient is φ = 8685895680.

The previous prime is 42914627269. The next prime is 42914627291. The reversal of 42914627280 is 8272641924.

42914627280 is a `hidden beast` number, since 4 + 2 + 9 + 14 + 627 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42914627269) and next prime (42914627291).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 703518450 + ... + 703518510.

It is an arithmetic number, because the mean of its divisors is an integer number (134532312).

Almost surely, 2^42914627280 is an apocalyptic number.

42914627280 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 42914627280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96863264640).

42914627280 is an abundant number, since it is smaller than the sum of its proper divisors (150811902000).

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

42914627280 is a wasteful number, since it uses less digits than its factorization.

42914627280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 42914627280 in words is "forty-two billion, nine hundred fourteen million, six hundred twenty-seven thousand, two hundred eighty".