42510828575040 has 224 divisors, whose sum is σ = 158015861385984. Its totient is φ = 9479766589440.

The previous prime is 42510828575023. The next prime is 42510828575063. The reversal of 42510828575040 is 4057582801524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×42510828575040² (a number of 28 digits) contains 22 as substring.

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, 76871019 + ... + 77422058.

It is an arithmetic number, because the mean of its divisors is an integer number (705427952616).

Almost surely, 2^{42510828575040} is an apocalyptic number.

42510828575040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42510828575040 is an abundant number, since it is smaller than the sum of its proper divisors (115505032810944).

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

42510828575040 is a wasteful number, since it uses less digits than its factorization.

42510828575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154293145 (or 154293135 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 51.

The spelling of 42510828575040 in words is "forty-two trillion, five hundred ten billion, eight hundred twenty-eight million, five hundred seventy-five thousand, forty".