42765852242640 has 160 divisors (see below), whose sum is σ = 139563981619200. Its totient is φ = 10803056140800.

The previous prime is 42765852242627. The next prime is 42765852242681. The reversal of 42765852242640 is 4624225856724.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 52266601 + ... + 53078519.

It is an arithmetic number, because the mean of its divisors is an integer number (872274885120).

Almost surely, 2^{42765852242640} is an apocalyptic number.

42765852242640 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 42765852242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69781990809600).

42765852242640 is an abundant number, since it is smaller than the sum of its proper divisors (96798129376560).

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

42765852242640 is a wasteful number, since it uses less digits than its factorization.

42765852242640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823505 (or 823499 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 57.

The spelling of 42765852242640 in words is "forty-two trillion, seven hundred sixty-five billion, eight hundred fifty-two million, two hundred forty-two thousand, six hundred forty".