1240170561504 has 648 divisors, whose sum is σ = 4463176765320. Its totient is φ = 324789212160.

The previous prime is 1240170561503. The next prime is 1240170561547. The reversal of 1240170561504 is 4051650710421.

1240170561504 is a `hidden beast` number, since 1 + 2 + 40 + 1 + 7 + 0 + 561 + 50 + 4 = 666.

It is a super-2 number, since 2×1240170561504² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240170561503) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 257668602 + ... + 257673414.

It is an arithmetic number, because the mean of its divisors is an integer number (6887618465).

Almost surely, 2^{1240170561504} is an apocalyptic number.

1240170561504 is a gapful number since it is divisible by the number (14) 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 1240170561504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231588382660).

1240170561504 is an abundant number, since it is smaller than the sum of its proper divisors (3223006203816).

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

1240170561504 is a wasteful number, since it uses less digits than its factorization.

1240170561504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1240170561504 in words is "one trillion, two hundred forty billion, one hundred seventy million, five hundred sixty-one thousand, five hundred four".