1671418506240 has 1056 divisors, whose sum is σ = 6946526269440. Its totient is φ = 380005613568.

The previous prime is 1671418506239. The next prime is 1671418506293. The reversal of 1671418506240 is 426058141761.

1671418506240 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 4 + 18 + 5 + 0 + 624 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1537642977 + ... + 1537644063.

Almost surely, 2^{1671418506240} is an apocalyptic number.

1671418506240 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 1671418506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473263134720).

1671418506240 is an abundant number, since it is smaller than the sum of its proper divisors (5275107763200).

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

1671418506240 is a wasteful number, since it uses less digits than its factorization.

1671418506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1671418506240 in words is "one trillion, six hundred seventy-one billion, four hundred eighteen million, five hundred six thousand, two hundred forty".