4442761400 has 144 divisors (see below), whose sum is σ = 13108524840. Its totient is φ = 1384723200.

The previous prime is 4442761391. The next prime is 4442761403. The reversal of 4442761400 is 41672444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442761403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87194 + ... + 128406.

Almost surely, 2^4442761400 is an apocalyptic number.

4442761400 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 4442761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554262420).

4442761400 is an abundant number, since it is smaller than the sum of its proper divisors (8665763440).

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

4442761400 is a wasteful number, since it uses less digits than its factorization.

4442761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41254 (or 41238 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 4442761400 is about 66654.0426380876. The cubic root of 4442761400 is about 1643.9338194579.

The spelling of 4442761400 in words is "four billion, four hundred forty-two million, seven hundred sixty-one thousand, four hundred".