45109702400 has 216 divisors, whose sum is σ = 128190441120. Its totient is φ = 15395143680.

The previous prime is 45109702367. The next prime is 45109702423. The reversal of 45109702400 is 420790154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10257002 + ... + 10261398.

Almost surely, 2^45109702400 is an apocalyptic number.

45109702400 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 45109702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64095220560).

45109702400 is an abundant number, since it is smaller than the sum of its proper divisors (83080738720).

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

45109702400 is a wasteful number, since it uses less digits than its factorization.

45109702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4659 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 45109702400 in words is "forty-five billion, one hundred nine million, seven hundred two thousand, four hundred".