40432348221440 has 208 divisors, whose sum is σ = 111003347904768. Its totient is φ = 13847926407168.

The previous prime is 40432348221407. The next prime is 40432348221457. The reversal of 40432348221440 is 4412284323404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136474109 + ... + 136770051.

Almost surely, 2^{40432348221440} is an apocalyptic number.

40432348221440 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 40432348221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55501673952384).

40432348221440 is an abundant number, since it is smaller than the sum of its proper divisors (70570999683328).

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

40432348221440 is an equidigital number, since it uses as much as digits as its factorization.

40432348221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296932 (or 296910 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 41.

The spelling of 40432348221440 in words is "forty trillion, four hundred thirty-two billion, three hundred forty-eight million, two hundred twenty-one thousand, four hundred forty".