132402322041440 has 768 divisors, whose sum is σ = 358678436014080. Its totient is φ = 45765451776000.

The previous prime is 132402322041383. The next prime is 132402322041443. The reversal of 132402322041440 is 44140223204231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 132402322041397 and 132402322041406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132402322041443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260122439906 + ... + 260122440414.

It is an arithmetic number, because the mean of its divisors is an integer number (467029213560).

Almost surely, 2^{132402322041440} is an apocalyptic number.

132402322041440 is a gapful number since it is divisible by the number (10) 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 132402322041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179339218007040).

132402322041440 is an abundant number, since it is smaller than the sum of its proper divisors (226276113972640).

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

132402322041440 is a wasteful number, since it uses less digits than its factorization.

132402322041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 132402322041440 its reverse (44140223204231), we get a palindrome (176542545245671).

The spelling of 132402322041440 in words is "one hundred thirty-two trillion, four hundred two billion, three hundred twenty-two million, forty-one thousand, four hundred forty".