4936309309440 has 896 divisors, whose sum is σ = 18258711068520. Its totient is φ = 1279625527296.

The previous prime is 4936309309429. The next prime is 4936309309483. The reversal of 4936309309440 is 449039036394.

4936309309440 is a `hidden beast` number, since 493 + 6 + 30 + 9 + 30 + 94 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3705594200064 + 1230715109376 = 1924992^2 + 1109376^2 .

It is a super-2 number, since 2×4936309309440² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4419255762 + ... + 4419256878.

Almost surely, 2^{4936309309440} is an apocalyptic number.

4936309309440 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 4936309309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9129355534260).

4936309309440 is an abundant number, since it is smaller than the sum of its proper divisors (13322401759080).

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

4936309309440 is an frugal number, since it uses more digits than its factorization.

4936309309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 4936309309440 in words is "four trillion, nine hundred thirty-six billion, three hundred nine million, three hundred nine thousand, four hundred forty".