4396964761440 has 384 divisors, whose sum is σ = 15520813418880. Its totient is φ = 1162547306496.

The previous prime is 4396964761433. The next prime is 4396964761447. The reversal of 4396964761440 is 441674696934.

4396964761440 is a `hidden beast` number, since 4 + 3 + 9 + 6 + 9 + 6 + 4 + 7 + 614 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4396964761433) and next prime (4396964761447).

It is a super-2 number, since 2×4396964761440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4396964761447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278757394 + ... + 278773166.

It is an arithmetic number, because the mean of its divisors is an integer number (40418784945).

Almost surely, 2^{4396964761440} is an apocalyptic number.

4396964761440 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 4396964761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760406709440).

4396964761440 is an abundant number, since it is smaller than the sum of its proper divisors (11123848657440).

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

4396964761440 is a wasteful number, since it uses less digits than its factorization.

4396964761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16343 (or 16329 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 4396964761440 in words is "four trillion, three hundred ninety-six billion, nine hundred sixty-four million, seven hundred sixty-one thousand, four hundred forty".