1868458415040 has 672 divisors, whose sum is σ = 7794085178880. Its totient is φ = 417138978816.

The previous prime is 1868458415011. The next prime is 1868458415053. The reversal of 1868458415040 is 405148548681.

1868458415040 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 4 + 584 + 1 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1868458415040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 23365846 + ... + 23445674.

It is an arithmetic number, because the mean of its divisors is an integer number (11598341040).

Almost surely, 2^{1868458415040} is an apocalyptic number.

1868458415040 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 1868458415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897042589440).

1868458415040 is an abundant number, since it is smaller than the sum of its proper divisors (5925626763840).

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

1868458415040 is an equidigital number, since it uses as much as digits as its factorization.

1868458415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79911 (or 79889 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 1868458415040 in words is "one trillion, eight hundred sixty-eight billion, four hundred fifty-eight million, four hundred fifteen thousand, forty".