4538297917440 has 672 divisors, whose sum is σ = 18010458385920. Its totient is φ = 1035523325952.

The previous prime is 4538297917421. The next prime is 4538297917441. The reversal of 4538297917440 is 447197928354.

4538297917440 is a `hidden beast` number, since 4 + 538 + 2 + 9 + 7 + 91 + 7 + 4 + 4 + 0 = 666.

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

It is a super-2 number, since 2×4538297917440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4538297917441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984387977 + ... + 1984390263.

It is an arithmetic number, because the mean of its divisors is an integer number (26801277360).

Almost surely, 2^{4538297917440} is an apocalyptic number.

4538297917440 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 4538297917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005229192960).

4538297917440 is an abundant number, since it is smaller than the sum of its proper divisors (13472160468480).

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

4538297917440 is a wasteful number, since it uses less digits than its factorization.

4538297917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 4538297917440 in words is "four trillion, five hundred thirty-eight billion, two hundred ninety-seven million, nine hundred seventeen thousand, four hundred forty".