4050236750400 has 567 divisors, whose sum is σ = 14902394238459. Its totient is φ = 1043290368000.

The previous prime is 4050236750389. The next prime is 4050236750411. The reversal of 4050236750400 is 40576320504.

The square root of 4050236750400 is 2012520.

It is a perfect power (a square), and thus also a powerful number.

4050236750400 is a `hidden beast` number, since 4 + 0 + 502 + 3 + 67 + 50 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4050236750389) and next prime (4050236750411).

It can be written as a sum of positive squares in 4 ways, for example, as 238933260864 + 3811303489536 = 488808^2 + 1952256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7486574130 + ... + 7486574670.

Almost surely, 2^{4050236750400} is an apocalyptic number.

4050236750400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4050236750400 is the 2012520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050236750400

4050236750400 is an abundant number, since it is smaller than the sum of its proper divisors (10852157488059).

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

4050236750400 is an equidigital number, since it uses as much as digits as its factorization.

4050236750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 4050236750400 by its sum of digits (36), we get a square (145808523014400 = 12075120²).

4050236750400 divided by its sum of digits (36) gives a square (112506576400 = 335420²).

The spelling of 4050236750400 in words is "four trillion, fifty billion, two hundred thirty-six million, seven hundred fifty thousand, four hundred".