42745177440 has 720 divisors, whose sum is σ = 176842500912. Its totient is φ = 9735054336.

The previous prime is 42745177403. The next prime is 42745177457. The reversal of 42745177440 is 4477154724.

42745177440 is a `hidden beast` number, since 4 + 27 + 4 + 517 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 154314582 + ... + 154314858.

Almost surely, 2^42745177440 is an apocalyptic number.

42745177440 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 42745177440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88421250456).

42745177440 is an abundant number, since it is smaller than the sum of its proper divisors (134097323472).

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

42745177440 is an frugal number, since it uses more digits than its factorization.

42745177440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 45.

The spelling of 42745177440 in words is "forty-two billion, seven hundred forty-five million, one hundred seventy-seven thousand, four hundred forty".