42797417040 has 1280 divisors, whose sum is σ = 190067834880. Its totient is φ = 8626176000.

The previous prime is 42797417011. The next prime is 42797417059. The reversal of 42797417040 is 4071479724.

42797417040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 326697775 + ... + 326697905.

It is an arithmetic number, because the mean of its divisors is an integer number (148490496).

Almost surely, 2^42797417040 is an apocalyptic number.

42797417040 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 42797417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95033917440).

42797417040 is an abundant number, since it is smaller than the sum of its proper divisors (147270417840).

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

42797417040 is a wasteful number, since it uses less digits than its factorization.

42797417040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 42797417040 in words is "forty-two billion, seven hundred ninety-seven million, four hundred seventeen thousand, forty".