4902722173440 has 1200 divisors, whose sum is σ = 21998836562472. Its totient is φ = 1034392633344.

The previous prime is 4902722173429. The next prime is 4902722173501. The reversal of 4902722173440 is 443712272094.

4902722173440 is a `hidden beast` number, since 4 + 90 + 2 + 7 + 2 + 217 + 344 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3266492334336 + 1636229839104 = 1807344^2 + 1279152^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 132069762 + ... + 132106878.

Almost surely, 2^{4902722173440} is an apocalyptic number.

4902722173440 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 4902722173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999418281236).

4902722173440 is an abundant number, since it is smaller than the sum of its proper divisors (17096114389032).

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

4902722173440 is a wasteful number, since it uses less digits than its factorization.

4902722173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37179 (or 37147 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 4902722173440 in words is "four trillion, nine hundred two billion, seven hundred twenty-two million, one hundred seventy-three thousand, four hundred forty".