4233742612740 has 144 divisors (see below), whose sum is σ = 13201896380400. Its totient is φ = 1097447408640.

The previous prime is 4233742612727. The next prime is 4233742612741. The reversal of 4233742612740 is 472162473324.

4233742612740 is a `hidden beast` number, since 4 + 2 + 3 + 374 + 2 + 6 + 1 + 274 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 892129364676 + 3341613248064 = 944526^2 + 1828008^2 .

It is a super-2 number, since 2×4233742612740² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4233742612741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6766686 + ... + 7365834.

It is an arithmetic number, because the mean of its divisors is an integer number (91679835975).

Almost surely, 2^{4233742612740} 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 4233742612740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600948190200).

4233742612740 is an abundant number, since it is smaller than the sum of its proper divisors (8968153767660).

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

4233742612740 is a wasteful number, since it uses less digits than its factorization.

4233742612740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600262 (or 600257 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 4233742612740 in words is "four trillion, two hundred thirty-three billion, seven hundred forty-two million, six hundred twelve thousand, seven hundred forty".