42510288341280 has 96 divisors (see below), whose sum is σ = 134026650765504. Its totient is φ = 11325982288896.

The previous prime is 42510288341263. The next prime is 42510288341291. The reversal of 42510288341280 is 8214388201524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42510288341280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38892439 + ... + 39970518.

It is an arithmetic number, because the mean of its divisors is an integer number (1396110945474).

Almost surely, 2^{42510288341280} is an apocalyptic number.

42510288341280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42510288341280 is an abundant number, since it is smaller than the sum of its proper divisors (91516362424224).

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

42510288341280 is a wasteful number, since it uses less digits than its factorization.

42510288341280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78864098 (or 78864090 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 42510288341280 in words is "forty-two trillion, five hundred ten billion, two hundred eighty-eight million, three hundred forty-one thousand, two hundred eighty".