4338874967040 has 528 divisors, whose sum is σ = 15216134034816. Its totient is φ = 1143078912000.

The previous prime is 4338874966997. The next prime is 4338874967057. The reversal of 4338874967040 is 407694788334.

It is a happy number.

4338874967040 is a `hidden beast` number, since 4 + 3 + 38 + 8 + 7 + 496 + 70 + 40 = 666.

It is a super-2 number, since 2×4338874967040² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2710102240 + ... + 2710103840.

It is an arithmetic number, because the mean of its divisors is an integer number (28818435672).

Almost surely, 2^{4338874967040} is an apocalyptic number.

4338874967040 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 4338874967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608067017408).

4338874967040 is an abundant number, since it is smaller than the sum of its proper divisors (10877259067776).

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

4338874967040 is a wasteful number, since it uses less digits than its factorization.

4338874967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 4338874967040 in words is "four trillion, three hundred thirty-eight billion, eight hundred seventy-four million, nine hundred sixty-seven thousand, forty".