42526145249280 has 3360 divisors, whose sum is σ = 202665824539200. Its totient is φ = 8316801515520.

The previous prime is 42526145249239. The next prime is 42526145249317. The reversal of 42526145249280 is 8294254162524.

42526145249280 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 6 + 145 + 2 + 492 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2501537955832 + ... + 2501537955848.

Almost surely, 2^{42526145249280} is an apocalyptic number.

42526145249280 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 42526145249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101332912269600).

42526145249280 is an abundant number, since it is smaller than the sum of its proper divisors (160139679289920).

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

42526145249280 is an frugal number, since it uses more digits than its factorization.

42526145249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 42526145249280 in words is "forty-two trillion, five hundred twenty-six billion, one hundred forty-five million, two hundred forty-nine thousand, two hundred eighty".