42310195568640 has 1120 divisors, whose sum is σ = 156279358398240. Its totient is φ = 10944340033536.

The previous prime is 42310195568561. The next prime is 42310195568653. The reversal of 42310195568640 is 4686559101324.

42310195568640 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 0 + 1 + 9 + 556 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22398196816 + ... + 22398198704.

It is an arithmetic number, because the mean of its divisors is an integer number (139535141427).

Almost surely, 2^{42310195568640} is an apocalyptic number.

42310195568640 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 42310195568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78139679199120).

42310195568640 is an abundant number, since it is smaller than the sum of its proper divisors (113969162829600).

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

42310195568640 is a wasteful number, since it uses less digits than its factorization.

42310195568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 42310195568640 in words is "forty-two trillion, three hundred ten billion, one hundred ninety-five million, five hundred sixty-eight thousand, six hundred forty".