42765146050000 has 240 divisors, whose sum is σ = 113348689844544. Its totient is φ = 15500246400000.

The previous prime is 42765146049971. The next prime is 42765146050037. The reversal of 42765146050000 is 5064156724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 168723364 + ... + 168976636.

Almost surely, 2^{42765146050000} is an apocalyptic number.

42765146050000 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 42765146050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56674344922272).

42765146050000 is an abundant number, since it is smaller than the sum of its proper divisors (70583543794544).

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

42765146050000 is a wasteful number, since it uses less digits than its factorization.

42765146050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253624 (or 253598 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 42765146050000 in words is "forty-two trillion, seven hundred sixty-five billion, one hundred forty-six million, fifty thousand".