42795233280 has 416 divisors, whose sum is σ = 153311929920. Its totient is φ = 11324620800.

The previous prime is 42795233263. The next prime is 42795233297. The reversal of 42795233280 is 8233259724.

42795233280 is a `hidden beast` number, since 4 + 279 + 52 + 3 + 328 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42795233263) and next prime (42795233297).

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 31 ways as a sum of consecutive naturals, for example, 106721080 + ... + 106721480.

Almost surely, 2^42795233280 is an apocalyptic number.

42795233280 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 42795233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76655964960).

42795233280 is an abundant number, since it is smaller than the sum of its proper divisors (110516696640).

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

42795233280 is a wasteful number, since it uses less digits than its factorization.

42795233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 42795233280 in words is "forty-two billion, seven hundred ninety-five million, two hundred thirty-three thousand, two hundred eighty".