45332005400 has 192 divisors, whose sum is σ = 119269152000. Its totient is φ = 15872371200.

The previous prime is 45332005393. The next prime is 45332005423. The reversal of 45332005400 is 450023354.

45332005400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45332005400³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45332005400.

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, 31069871 + ... + 31071329.

It is an arithmetic number, because the mean of its divisors is an integer number (621193500).

Almost surely, 2^45332005400 is an apocalyptic number.

45332005400 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 45332005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59634576000).

45332005400 is an abundant number, since it is smaller than the sum of its proper divisors (73937146600).

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

45332005400 is a wasteful number, since it uses less digits than its factorization.

45332005400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

Adding to 45332005400 its reverse (450023354), we get a palindrome (45782028754).

The spelling of 45332005400 in words is "forty-five billion, three hundred thirty-two million, five thousand, four hundred".