45021438000 has 720 divisors, whose sum is σ = 197597644608. Its totient is φ = 9351936000.

The previous prime is 45021437963. The next prime is 45021438019. The reversal of 45021438000 is 83412054.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15244524 + ... + 15247476.

Almost surely, 2^45021438000 is an apocalyptic number.

45021438000 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 45021438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98798822304).

45021438000 is an abundant number, since it is smaller than the sum of its proper divisors (152576206608).

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

45021438000 is a wasteful number, since it uses less digits than its factorization.

45021438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 45021438000 in words is "forty-five billion, twenty-one million, four hundred thirty-eight thousand".