4130742440 has 64 divisors (see below), whose sum is σ = 10239592320. Its totient is φ = 1487200000.

The previous prime is 4130742403. The next prime is 4130742457. The reversal of 4130742440 is 442470314.

It is a super-3 number, since 3×4130742440³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2036 + ... + 90915.

It is an arithmetic number, because the mean of its divisors is an integer number (159993630).

Almost surely, 2^4130742440 is an apocalyptic number.

4130742440 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 4130742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119796160).

4130742440 is an abundant number, since it is smaller than the sum of its proper divisors (6108849880).

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

4130742440 is a wasteful number, since it uses less digits than its factorization.

4130742440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93074 (or 93070 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 4130742440 is about 64270.8521804402. The cubic root of 4130742440 is about 1604.5110249146.

It can be divided in two parts, 413074 and 2440, that added together give a palindrome (415514).

The spelling of 4130742440 in words is "four billion, one hundred thirty million, seven hundred forty-two thousand, four hundred forty".