4072298250240 has 1140 divisors, whose sum is σ = 16098465118428. Its totient is φ = 984109547520.

The previous prime is 4072298250217. The next prime is 4072298250271. The reversal of 4072298250240 is 420528922704.

4072298250240 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 29 + 82 + 502 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 742519996416 + 3329778253824 = 861696^2 + 1824768^2 .

It is a super-2 number, since 2×4072298250240² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12846366562 + ... + 12846366878.

Almost surely, 2^{4072298250240} is an apocalyptic number.

4072298250240 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 4072298250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049232559214).

4072298250240 is an abundant number, since it is smaller than the sum of its proper divisors (12026166868188).

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

4072298250240 is an frugal number, since it uses more digits than its factorization.

4072298250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4072298250240 in words is "four trillion, seventy-two billion, two hundred ninety-eight million, two hundred fifty thousand, two hundred forty".