42795354609600 has 168 divisors, whose sum is σ = 140436675346560. Its totient is φ = 11409473326080.

The previous prime is 42795354609587. The next prime is 42795354609617. The reversal of 42795354609600 is 690645359724.

It is a super-2 number, since 2×42795354609600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19920661 + ... + 21964139.

Almost surely, 2^{42795354609600} is an apocalyptic number.

42795354609600 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 42795354609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70218337673280).

42795354609600 is an abundant number, since it is smaller than the sum of its proper divisors (97641320736960).

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

42795354609600 is a wasteful number, since it uses less digits than its factorization.

42795354609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047867 (or 2047852 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 42795354609600 in words is "forty-two trillion, seven hundred ninety-five billion, three hundred fifty-four million, six hundred nine thousand, six hundred".