714428245440 has 672 divisors, whose sum is σ = 3033762426240. Its totient is φ = 150270640128.

The previous prime is 714428245439. The next prime is 714428245459. The reversal of 714428245440 is 44542824417.

714428245440 is a `hidden beast` number, since 7 + 144 + 28 + 2 + 45 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88316916 + ... + 88325004.

It is an arithmetic number, because the mean of its divisors is an integer number (4514527420).

Almost surely, 2^714428245440 is an apocalyptic number.

714428245440 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 714428245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516881213120).

714428245440 is an abundant number, since it is smaller than the sum of its proper divisors (2319334180800).

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

714428245440 is a wasteful number, since it uses less digits than its factorization.

714428245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 714428245440 in words is "seven hundred fourteen billion, four hundred twenty-eight million, two hundred forty-five thousand, four hundred forty".