1611240413076 has 1152 divisors, whose sum is σ = 5621678899200. Its totient is φ = 377906135040.

The previous prime is 1611240413033. The next prime is 1611240413119. The reversal of 1611240413076 is 6703140421161.

1611240413076 is a `hidden beast` number, since 1 + 6 + 112 + 404 + 130 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1611240413033) and next prime (1611240413119).

It is a super-2 number, since 2×1611240413076² (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 self number, because there is not a number n which added to its sum of digits gives 1611240413076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7097975275 + ... + 7097975501.

It is an arithmetic number, because the mean of its divisors is an integer number (4879929600).

Almost surely, 2^{1611240413076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1611240413076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810839449600).

1611240413076 is an abundant number, since it is smaller than the sum of its proper divisors (4010438486124).

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

1611240413076 is a wasteful number, since it uses less digits than its factorization.

1611240413076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1611240413076 in words is "one trillion, six hundred eleven billion, two hundred forty million, four hundred thirteen thousand, seventy-six".