440132525400000 has 336 divisors, whose sum is σ = 1502506873405440. Its totient is φ = 113582582400000.

The previous prime is 440132525399993. The next prime is 440132525400077. The reversal of 440132525400000 is 4525231044.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6768481 + ... + 30431519.

It is an arithmetic number, because the mean of its divisors is an integer number (4471746647040).

Almost surely, 2^{440132525400000} is an apocalyptic number.

440132525400000 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 440132525400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751253436702720).

440132525400000 is an abundant number, since it is smaller than the sum of its proper divisors (1062374348005440).

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

440132525400000 is an equidigital number, since it uses as much as digits as its factorization.

440132525400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23663110 (or 23663080 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 440132525400000 in words is "four hundred forty trillion, one hundred thirty-two billion, five hundred twenty-five million, four hundred thousand".