4050761400 has 528 divisors, whose sum is σ = 16474578000. Its totient is φ = 925888320.

The previous prime is 4050761387. The next prime is 4050761431. The reversal of 4050761400 is 41670504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4050761400 is a `hidden beast` number, since 40 + 5 + 0 + 7 + 614 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 578680197 + ... + 578680203.

Almost surely, 2^4050761400 is an apocalyptic number.

4050761400 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 4050761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8237289000).

4050761400 is an abundant number, since it is smaller than the sum of its proper divisors (12423816600).

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

4050761400 is an frugal number, since it uses more digits than its factorization.

4050761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4050761400 is about 63645.5921490247. The cubic root of 4050761400 is about 1594.0877374203.

The spelling of 4050761400 in words is "four billion, fifty million, seven hundred sixty-one thousand, four hundred".