4135750400 has 108 divisors (see below), whose sum is σ = 10312491000. Its totient is φ = 1642045440.

The previous prime is 4135750379. The next prime is 4135750403. The reversal of 4135750400 is 40575314.

It is a super-2 number, since 2×4135750400² = 34208862742200320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4135750403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 887276 + ... + 891924.

Almost surely, 2^4135750400 is an apocalyptic number.

4135750400 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 4135750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156245500).

4135750400 is an abundant number, since it is smaller than the sum of its proper divisors (6176740600).

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

4135750400 is a wasteful number, since it uses less digits than its factorization.

4135750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 4135750400 is about 64309.8001862858. The cubic root of 4135750400 is about 1605.1591797430.

The spelling of 4135750400 in words is "four billion, one hundred thirty-five million, seven hundred fifty thousand, four hundred".