714003131040 has 384 divisors, whose sum is σ = 2436001102080. Its totient is φ = 175177728000.

The previous prime is 714003130979. The next prime is 714003131063. The reversal of 714003131040 is 40131300417.

714003131040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×714003131040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 714003131040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216297390 + ... + 216300690.

It is an arithmetic number, because the mean of its divisors is an integer number (6343752870).

Almost surely, 2^714003131040 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 714003131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218000551040).

714003131040 is an abundant number, since it is smaller than the sum of its proper divisors (1721997971040).

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

714003131040 is a wasteful number, since it uses less digits than its factorization.

714003131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 714003131040 its reverse (40131300417), we get a palindrome (754134431457).

The spelling of 714003131040 in words is "seven hundred fourteen billion, three million, one hundred thirty-one thousand, forty".