532427772119040 has 1920 divisors, whose sum is σ = 2208152014548480. Its totient is φ = 120188993273856.

The previous prime is 532427772118987. The next prime is 532427772119069. The reversal of 532427772119040 is 40911277724235.

532427772119040 is a `hidden beast` number, since 5 + 3 + 2 + 427 + 7 + 7 + 21 + 190 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 159 ways as a sum of consecutive naturals, for example, 435345683869 + ... + 435345685091.

It is an arithmetic number, because the mean of its divisors is an integer number (1150079174244).

Almost surely, 2^{532427772119040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532427772119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104076007274240).

532427772119040 is an abundant number, since it is smaller than the sum of its proper divisors (1675724242429440).

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

532427772119040 is a wasteful number, since it uses less digits than its factorization.

532427772119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 532427772119040 in words is "five hundred thirty-two trillion, four hundred twenty-seven billion, seven hundred seventy-two million, one hundred nineteen thousand, forty".