1617253475040 has 864 divisors, whose sum is σ = 6774920792640. Its totient is φ = 349581754368.

The previous prime is 1617253475029. The next prime is 1617253475051. The reversal of 1617253475040 is 405743527161.

1617253475040 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 2 + 534 + 75 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1617253475029) and next prime (1617253475051).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144430722 + ... + 144441918.

It is an arithmetic number, because the mean of its divisors is an integer number (7841343510).

Almost surely, 2^{1617253475040} is an apocalyptic number.

1617253475040 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 1617253475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387460396320).

1617253475040 is an abundant number, since it is smaller than the sum of its proper divisors (5157667317600).

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

1617253475040 is a wasteful number, since it uses less digits than its factorization.

1617253475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1617253475040 in words is "one trillion, six hundred seventeen billion, two hundred fifty-three million, four hundred seventy-five thousand, forty".