653411309040 has 240 divisors, whose sum is σ = 2509002145728. Its totient is φ = 149282832384.

The previous prime is 653411309039. The next prime is 653411309063. The reversal of 653411309040 is 40903114356.

653411309040 is a `hidden beast` number, since 6 + 5 + 341 + 1 + 309 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 653411308986 and 653411309004.

It is a congruent number.

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, 11427402 + ... + 11484438.

Almost surely, 2^653411309040 is an apocalyptic number.

653411309040 is a gapful number since it is divisible by the number (60) 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 653411309040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254501072864).

653411309040 is an abundant number, since it is smaller than the sum of its proper divisors (1855590836688).

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

653411309040 is a wasteful number, since it uses less digits than its factorization.

653411309040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59336 (or 59327 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 653411309040 in words is "six hundred fifty-three billion, four hundred eleven million, three hundred nine thousand, forty".