4058800245400 has 96 divisors (see below), whose sum is σ = 9477212616000. Its totient is φ = 1616566533120.

The previous prime is 4058800245397. The next prime is 4058800245427. The reversal of 4058800245400 is 45420088504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 45133681 + ... + 45223519.

It is an arithmetic number, because the mean of its divisors is an integer number (98720964750).

Almost surely, 2^{4058800245400} is an apocalyptic number.

4058800245400 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 4058800245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738606308000).

4058800245400 is an abundant number, since it is smaller than the sum of its proper divisors (5418412370600).

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

4058800245400 is a wasteful number, since it uses less digits than its factorization.

4058800245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90821 (or 90812 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 40.

The spelling of 4058800245400 in words is "four trillion, fifty-eight billion, eight hundred million, two hundred forty-five thousand, four hundred".