42745052183040 has 480 divisors, whose sum is σ = 150108123621456. Its totient is φ = 11240323153920.

The previous prime is 42745052183021. The next prime is 42745052183137. The reversal of 42745052183040 is 4038125054724.

42745052183040 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 5 + 0 + 521 + 83 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27973267128576 + 14771785054464 = 5288976^2 + 3843408^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×42745052183040² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 512851770 + ... + 512935110.

Almost surely, 2^{42745052183040} is an apocalyptic number.

42745052183040 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 42745052183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75054061810728).

42745052183040 is an abundant number, since it is smaller than the sum of its proper divisors (107363071438416).

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

42745052183040 is a wasteful number, since it uses less digits than its factorization.

42745052183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83680 (or 83661 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 42745052183040 in words is "forty-two trillion, seven hundred forty-five billion, fifty-two million, one hundred eighty-three thousand, forty".