4972126094208 has 704 divisors, whose sum is σ = 18289332482400. Its totient is φ = 1311148560384.

The previous prime is 4972126094141. The next prime is 4972126094233. The reversal of 4972126094208 is 8024906212794.

It is a happy number.

4972126094208 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 1 + 2 + 609 + 4 + 20 + 8 = 666.

It is a super-2 number, since 2×4972126094208² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 687799138 + ... + 687806366.

Almost surely, 2^{4972126094208} is an apocalyptic number.

4972126094208 is a gapful number since it is divisible by the number (48) 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 4972126094208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144666241200).

4972126094208 is an abundant number, since it is smaller than the sum of its proper divisors (13317206388192).

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

4972126094208 is an frugal number, since it uses more digits than its factorization.

4972126094208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7293 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4972126094208 in words is "four trillion, nine hundred seventy-two billion, one hundred twenty-six million, ninety-four thousand, two hundred eight".