734913128040 has 256 divisors, whose sum is σ = 2779710635520. Its totient is φ = 151276584960.

The previous prime is 734913128021. The next prime is 734913128063. The reversal of 734913128040 is 40821319437.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 734913127983 and 734913128001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373009 + ... + 1268448.

It is an arithmetic number, because the mean of its divisors is an integer number (10858244670).

Almost surely, 2^734913128040 is an apocalyptic number.

734913128040 is a gapful number since it is divisible by the number (70) 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 734913128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389855317760).

734913128040 is an abundant number, since it is smaller than the sum of its proper divisors (2044797507480).

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

734913128040 is a wasteful number, since it uses less digits than its factorization.

734913128040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641532 (or 1641528 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 734913128040 in words is "seven hundred thirty-four billion, nine hundred thirteen million, one hundred twenty-eight thousand, forty".