4187661323040 has 768 divisors, whose sum is σ = 16246253721600. Its totient is φ = 1001062969344.

The previous prime is 4187661323039. The next prime is 4187661323059. The reversal of 4187661323040 is 403231667814.

4187661323040 is a `hidden beast` number, since 4 + 1 + 8 + 7 + 6 + 613 + 23 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 275007907 + ... + 275023133.

It is an arithmetic number, because the mean of its divisors is an integer number (21153976200).

Almost surely, 2^{4187661323040} is an apocalyptic number.

4187661323040 is a gapful number since it is divisible by the number (40) 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 4187661323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8123126860800).

4187661323040 is an abundant number, since it is smaller than the sum of its proper divisors (12058592398560).

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

4187661323040 is a wasteful number, since it uses less digits than its factorization.

4187661323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15406 (or 15392 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4187661323040 in words is "four trillion, one hundred eighty-seven billion, six hundred sixty-one million, three hundred twenty-three thousand, forty".