42652826711040 has 704 divisors, whose sum is σ = 173320942878720. Its totient is φ = 8708969594880.

The previous prime is 42652826711039. The next prime is 42652826711081. The reversal of 42652826711040 is 4011762825624.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 42838381 + ... + 43822739.

Almost surely, 2^{42652826711040} is an apocalyptic number.

42652826711040 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 42652826711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86660471439360).

42652826711040 is an abundant number, since it is smaller than the sum of its proper divisors (130668116167680).

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

42652826711040 is a wasteful number, since it uses less digits than its factorization.

42652826711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984438 (or 984420 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 42652826711040 in words is "forty-two trillion, six hundred fifty-two billion, eight hundred twenty-six million, seven hundred eleven thousand, forty".