45390702400 has 168 divisors, whose sum is σ = 116843860800. Its totient is φ = 17322455040.

The previous prime is 45390702373. The next prime is 45390702407. The reversal of 45390702400 is 420709354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45390702407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16816251 + ... + 16818949.

Almost surely, 2^45390702400 is an apocalyptic number.

45390702400 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 45390702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58421930400).

45390702400 is an abundant number, since it is smaller than the sum of its proper divisors (71453158400).

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

45390702400 is a wasteful number, since it uses less digits than its factorization.

45390702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 45390702400 in words is "forty-five billion, three hundred ninety million, seven hundred two thousand, four hundred".