42527255040 has 480 divisors, whose sum is σ = 154162008000. Its totient is φ = 11235262464.

The previous prime is 42527255021. The next prime is 42527255081. The reversal of 42527255040 is 4055272524.

42527255040 is a `hidden beast` number, since 42 + 5 + 27 + 2 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42527254986 and 42527255004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85224711 + ... + 85225209.

It is an arithmetic number, because the mean of its divisors is an integer number (321170850).

Almost surely, 2^42527255040 is an apocalyptic number.

42527255040 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 42527255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77081004000).

42527255040 is an abundant number, since it is smaller than the sum of its proper divisors (111634752960).

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

42527255040 is an equidigital number, since it uses as much as digits as its factorization.

42527255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 42527255040 in words is "forty-two billion, five hundred twenty-seven million, two hundred fifty-five thousand, forty".