4426796462400 has 504 divisors, whose sum is σ = 16952116772864. Its totient is φ = 1089162547200.

The previous prime is 4426796462399. The next prime is 4426796462401. The reversal of 4426796462400 is 42646976244.

It is a happy number.

4426796462400 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 7 + 9 + 6 + 4 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4426796462399) and next prime (4426796462401).

It is a super-2 number, since 2×4426796462400² (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 (4426796462401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 540442305 + ... + 540450495.

Almost surely, 2^{4426796462400} is an apocalyptic number.

4426796462400 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 4426796462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476058386432).

4426796462400 is an abundant number, since it is smaller than the sum of its proper divisors (12525320310464).

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

4426796462400 is a wasteful number, since it uses less digits than its factorization.

4426796462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11119 (or 11101 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 4426796462400 in words is "four trillion, four hundred twenty-six billion, seven hundred ninety-six million, four hundred sixty-two thousand, four hundred".