40442101115520 has 768 divisors, whose sum is σ = 144135128592000. Its totient is φ = 9587801653248.

The previous prime is 40442101115473. The next prime is 40442101115539. The reversal of 40442101115520 is 2551110124404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9299170306 + ... + 9299174654.

Almost surely, 2^{40442101115520} is an apocalyptic number.

40442101115520 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 40442101115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72067564296000).

40442101115520 is an abundant number, since it is smaller than the sum of its proper divisors (103693027476480).

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

40442101115520 is a wasteful number, since it uses less digits than its factorization.

40442101115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 40442101115520 its reverse (2551110124404), we get a palindrome (42993211239924).

The spelling of 40442101115520 in words is "forty trillion, four hundred forty-two billion, one hundred one million, one hundred fifteen thousand, five hundred twenty".