7404129000 has 640 divisors, whose sum is σ = 28948233600. Its totient is φ = 1754265600.

The previous prime is 7404128957. The next prime is 7404129053. The reversal of 7404129000 is 9214047.

It is a happy number.

It is a super-2 number, since 2×7404129000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26162859 + ... + 26163141.

It is an arithmetic number, because the mean of its divisors is an integer number (45231615).

Almost surely, 2^7404129000 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 7404129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14474116800).

7404129000 is an abundant number, since it is smaller than the sum of its proper divisors (21544104600).

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

7404129000 is a wasteful number, since it uses less digits than its factorization.

7404129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7404129000 is about 86047.2486486349. The cubic root of 7404129000 is about 1949.0575327290.

It can be divided in two parts, 74041 and 29000, that added together give a square (103041 = 321²).

The spelling of 7404129000 in words is "seven billion, four hundred four million, one hundred twenty-nine thousand".