4272867397440 has 672 divisors, whose sum is σ = 15681232869120. Its totient is φ = 1064853209088.

The previous prime is 4272867397433. The next prime is 4272867397481. The reversal of 4272867397440 is 447937682724.

4272867397440 is a `hidden beast` number, since 4 + 27 + 2 + 86 + 7 + 3 + 97 + 440 = 666.

It is a super-2 number, since 2×4272867397440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1251937174 + ... + 1251940586.

It is an arithmetic number, because the mean of its divisors is an integer number (23335167960).

Almost surely, 2^{4272867397440} is an apocalyptic number.

4272867397440 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 4272867397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840616434560).

4272867397440 is an abundant number, since it is smaller than the sum of its proper divisors (11408365471680).

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

4272867397440 is a wasteful number, since it uses less digits than its factorization.

4272867397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 4272867397440 in words is "four trillion, two hundred seventy-two billion, eight hundred sixty-seven million, three hundred ninety-seven thousand, four hundred forty".