45401444000 has 192 divisors, whose sum is σ = 123762038400. Its totient is φ = 16228864000.

The previous prime is 45401443999. The next prime is 45401444047. The reversal of 45401444000 is 44410454.

It is a super-2 number, since 2×45401444000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587256 + ... + 2604744.

It is an arithmetic number, because the mean of its divisors is an integer number (644593950).

Almost surely, 2^45401444000 is an apocalyptic number.

45401444000 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 45401444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61881019200).

45401444000 is an abundant number, since it is smaller than the sum of its proper divisors (78360594400).

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

45401444000 is a wasteful number, since it uses less digits than its factorization.

45401444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17584 (or 17566 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 45401444000 its reverse (44410454), we get a palindrome (45445854454).

The spelling of 45401444000 in words is "forty-five billion, four hundred one million, four hundred forty-four thousand".