741010144 has 72 divisors (see below), whose sum is σ = 1796936400. Its totient is φ = 298884096.

The previous prime is 741010141. The next prime is 741010157. The reversal of 741010144 is 441010147.

741010144 = 496² + 497² + ... + 1328².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741010141) 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, 12757 + ... + 40555.

It is an arithmetic number, because the mean of its divisors is an integer number (24957450).

Almost surely, 2^741010144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898468200).

741010144 is an abundant number, since it is smaller than the sum of its proper divisors (1055926256).

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

741010144 is a wasteful number, since it uses less digits than its factorization.

741010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27840 (or 27825 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 741010144 is about 27221.5015015704. The cubic root of 741010144 is about 904.9155498459.

The spelling of 741010144 in words is "seven hundred forty-one million, ten thousand, one hundred forty-four".