1864030371840 has 2100 divisors, whose sum is σ = 8426539055004. Its totient is φ = 393289924608.

The previous prime is 1864030371839. The next prime is 1864030371857. The reversal of 1864030371840 is 481730304681.

It can be written as a sum of positive squares in 2 ways, for example, as 458838245376 + 1405192126464 = 677376^2 + 1185408^2 .

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 139 ways as a sum of consecutive naturals, for example, 143386951674 + ... + 143386951686.

Almost surely, 2^{1864030371840} is an apocalyptic number.

1864030371840 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 1864030371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213269527502).

1864030371840 is an abundant number, since it is smaller than the sum of its proper divisors (6562508683164).

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

1864030371840 is an frugal number, since it uses more digits than its factorization.

1864030371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1864030371840 in words is "one trillion, eight hundred sixty-four billion, thirty million, three hundred seventy-one thousand, eight hundred forty".