532122877440 has 2520 divisors, whose sum is σ = 2537629878168. Its totient is φ = 105763553280.

The previous prime is 532122877421. The next prime is 532122877457. The reversal of 532122877440 is 44778221235.

532122877440 is a `hidden beast` number, since 5 + 3 + 2 + 122 + 87 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 23135777269 + ... + 23135777291.

Almost surely, 2^532122877440 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 532122877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268814939084).

532122877440 is an abundant number, since it is smaller than the sum of its proper divisors (2005507000728).

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

532122877440 is an equidigital number, since it uses as much as digits as its factorization.

532122877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 532122877440 in words is "five hundred thirty-two billion, one hundred twenty-two million, eight hundred seventy-seven thousand, four hundred forty".