1653407303040 has 768 divisors, whose sum is σ = 6288045603840. Its totient is φ = 413724672000.

The previous prime is 1653407303039. The next prime is 1653407303069. The reversal of 1653407303040 is 403037043561.

1653407303040 is a `hidden beast` number, since 1 + 6 + 5 + 340 + 7 + 3 + 0 + 304 + 0 = 666.

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 = 1653407302986 and 1653407303004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1139494315 + ... + 1139495765.

It is an arithmetic number, because the mean of its divisors is an integer number (8187559380).

Almost surely, 2^{1653407303040} is an apocalyptic number.

1653407303040 is a gapful number since it is divisible by the number (10) 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 1653407303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144022801920).

1653407303040 is an abundant number, since it is smaller than the sum of its proper divisors (4634638300800).

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

1653407303040 is a wasteful number, since it uses less digits than its factorization.

1653407303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 1653407303040 in words is "one trillion, six hundred fifty-three billion, four hundred seven million, three hundred three thousand, forty".