4045425214400 has 252 divisors, whose sum is σ = 10465226880528. Its totient is φ = 1536254607360.

The previous prime is 4045425214399. The next prime is 4045425214403. The reversal of 4045425214400 is 44125245404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045425214403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 690696272 + ... + 690702128.

Almost surely, 2^{4045425214400} is an apocalyptic number.

4045425214400 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 4045425214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232613440264).

4045425214400 is an abundant number, since it is smaller than the sum of its proper divisors (6419801666128).

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

4045425214400 is a wasteful number, since it uses less digits than its factorization.

4045425214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

The spelling of 4045425214400 in words is "four trillion, forty-five billion, four hundred twenty-five million, two hundred fourteen thousand, four hundred".