4075093200640 has 432 divisors, whose sum is σ = 12407207218560. Its totient is φ = 1268090019840.

The previous prime is 4075093200613. The next prime is 4075093200679. The reversal of 4075093200640 is 460023905704.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4075093200593 and 4075093200602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454652799 + ... + 454661761.

It is an arithmetic number, because the mean of its divisors is an integer number (28720387080).

Almost surely, 2^{4075093200640} is an apocalyptic number.

4075093200640 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 4075093200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203603609280).

4075093200640 is an abundant number, since it is smaller than the sum of its proper divisors (8332114017920).

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

4075093200640 is a wasteful number, since it uses less digits than its factorization.

4075093200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9668 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 4075093200640 in words is "four trillion, seventy-five billion, ninety-three million, two hundred thousand, six hundred forty".