4209472592640 has 432 divisors, whose sum is σ = 17261444997888. Its totient is φ = 962164666368.

The previous prime is 4209472592639. The next prime is 4209472592659. The reversal of 4209472592640 is 462952749024.

4209472592640 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 4 + 7 + 2 + 592 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 1210599 + ... + 3143961.

Almost surely, 2^{4209472592640} is an apocalyptic number.

4209472592640 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 4209472592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8630722498944).

4209472592640 is an abundant number, since it is smaller than the sum of its proper divisors (13051972405248).

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

4209472592640 is an equidigital number, since it uses as much as digits as its factorization.

4209472592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933406 (or 1933380 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4209472592640 in words is "four trillion, two hundred nine billion, four hundred seventy-two million, five hundred ninety-two thousand, six hundred forty".