4050501042400 has 144 divisors (see below), whose sum is σ = 10487391576480. Its totient is φ = 1522354176000.

The previous prime is 4050501042397. The next prime is 4050501042433. The reversal of 4050501042400 is 42401050504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 7925821 + ... + 8421379.

It is an arithmetic number, because the mean of its divisors is an integer number (72829108170).

Almost surely, 2^{4050501042400} is an apocalyptic number.

4050501042400 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 4050501042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243695788240).

4050501042400 is an abundant number, since it is smaller than the sum of its proper divisors (6436890534080).

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

4050501042400 is a wasteful number, since it uses less digits than its factorization.

4050501042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496197 (or 496184 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 4050501042400 its reverse (42401050504), we get a palindrome (4092902092904).

The spelling of 4050501042400 in words is "four trillion, fifty billion, five hundred one million, forty-two thousand, four hundred".