132411410400 has 288 divisors, whose sum is σ = 454268424960. Its totient is φ = 33408184320.

The previous prime is 132411410377. The next prime is 132411410429. The reversal of 132411410400 is 4014114231.

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, 50021877 + ... + 50024523.

It is an arithmetic number, because the mean of its divisors is an integer number (1577320920).

Almost surely, 2^132411410400 is an apocalyptic number.

132411410400 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 132411410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227134212480).

132411410400 is an abundant number, since it is smaller than the sum of its proper divisors (321857014560).

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

132411410400 is a wasteful number, since it uses less digits than its factorization.

132411410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 132411410400 its reverse (4014114231), we get a palindrome (136425524631).

The spelling of 132411410400 in words is "one hundred thirty-two billion, four hundred eleven million, four hundred ten thousand, four hundred".